Výsledky vyhľadávania - "Boundary value and inverse problems for harmonic functions in two dimensions"

Some geometric relations for equipotential curves

Autori: Yajun Zhou

Zdroj: Journal of Differential Equations. 433:113296

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, Mathematics - Differential Geometry, Probability (math.PR), FOS: Physical sciences, Mathematical Physics (math-ph), level sets, 01 natural sciences, Mathematics - Analysis of PDEs, harmonic function, Differential Geometry (math.DG), FOS: Mathematics, 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, Mathematical Physics, Mathematics - Probability, Dirichlet problem, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/1912.11669
https://zbmath.org/8031083
https://doi.org/10.1016/j.jde.2025.113296

Detecting inclusions with a generalized impedance condition from electrostatic data via sampling

Autori: Isaac Harris

Zdroj: Mathematical Methods in the Applied Sciences. 42:6741-6756

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, 35J05, 31A25, 78A30, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, sampling methods, inverse boundary value problems, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, FOS: Mathematics, shape reconstruction, 0101 mathematics, Mathematical Physics, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/pdf/1708.03203
http://arxiv.org/abs/1708.03203
https://zbmath.org/7163562
https://doi.org/10.1002/mma.5777
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.5777
https://ui.adsabs.harvard.edu/abs/2019MMAS...42.6741H/abstract

Finding the First Nodal Line of a Convex Domain: Finding the first nodal line of a convex domain

Autori: David Jerison

Zdroj: The Journal of Fourier Analysis and Applications ISBN: 9780429332838

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, convex domain, nodal line, General topics in linear spectral theory for PDEs, Variational methods for eigenvalues of operators, Dirichlet problem

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1115820
https://www.taylorfrancis.com/books/e/9780429332838/chapters/10.1201/9780429332838-16

A Solution of some Problems in Potential Theory: A solution of some problems in potential theory

Autori: Vincent Courtillot J. L. Le Mouël J. Ducruix

Zdroj: Geophysical Journal of the Royal Astronomical Society. 42:251-272

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, 01 natural sciences, 0105 earth and related environmental sciences

Popis súboru: application/xml

Prístupová URL adresa: https://academic.oup.com/gji/article-pdf/42/1/251/2101670/42-1-251.pdf
https://zbmath.org/3484372
https://academic.oup.com/gji/article/42/1/251/712738
https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1365-246X.1975.tb05859.x

Well-posed Inverse Eigenvalue Problems: Well-posed inverse eigenvalue problems

Autori: Victor Barcilon

Zdroj: Geophysical Journal of the Royal Astronomical Society. 42:375-383

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, Ordinary differential operators, 0101 mathematics, 01 natural sciences, 0105 earth and related environmental sciences

Popis súboru: application/xml

Prístupová URL adresa: https://academic.oup.com/gji/article-pdf/42/2/375/1830311/42-2-375.pdf
https://zbmath.org/3496568
https://academic.oup.com/gji/article/42/2/375/649561

A problem of Baernstein on the equality of the 𝑝\mspace{1𝑚𝑢}-harmonic measure of a set and its closure: A problem of Baernstein on the equality of the \(p\)-harmonic measure of a set and its closure

Autori: Björn, Anders Björn, Jana Shanmugalingam , Nageswari

Zdroj: Proceedings of the American Mathematical Society. 134:509-519

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, Matematik, unit disc, 4. Education, starshaped, Capacity and harmonic measure in the complex plane, Potentials and capacities on other spaces, Dirichlet problem for \(p\)-harmonic functions, Sobolev space, 16. Peace & justice, Lipschitz domain, 01 natural sciences, Ahlfors regular, Sobolev function, Minkowski dimension, 0103 physical sciences, starshaped domain, trace, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Boundary value and inverse problems for harmonic functions in higher dimensions, Mathematics, Dirichlet problem, Other generalizations (nonlinear potential theory, etc.)

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: https://www.ams.org/proc/2006-134-02/S0002-9939-05-08187-6/S0002-9939-05-08187-6.pdf
https://zbmath.org/2227192
https://doi.org/10.1090/s0002-9939-05-08187-6
https://www.jstor.org/stable/4098314
https://ams.org/journals/proc/2006-134-02/S0002-9939-05-08187-6/S0002-9939-05-08187-6.pdf
https://documat.unirioja.es/servlet/articulo?codigo=1463236
https://liu.diva-portal.org/smash/get/diva2:217010/FULLTEXT01.pdf
http://www.diva-portal.org/smash/record.jsf?pid=diva2:217010
https://www.ams.org/journals/proc/2006-134-02/S0002-9939-05-08187-6/home.html
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-18233

On the determination of a measure by the orbits generated by its logarithmic potential

Autori: Dimitrios Betsakos Simela Grigoriadou

Zdroj: Proceedings of the American Mathematical Society. 134:541-548

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, Dynamics of a system of particles, including celestial mechanics, logarithmic potential, 0103 physical sciences, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, inverse problem, 0101 mathematics, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://www.ams.org/proc/2006-134-02/S0002-9939-05-08000-7/S0002-9939-05-08000-7.pdf
https://www.ams.org/journals/proc/2006-134-02/S0002-9939-05-08000-7/home.html
https://users.auth.gr/betsakos/pdfs/[19].pdf
https://www.ams.org/proc/2006-134-02/S0002-9939-05-08000-7/S0002-9939-05-08000-7.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1463239
https://documat.unirioja.es/servlet/articulo?codigo=1463239

Classical image treatment of a geometry composed of a circular conductor partially merged in a dielectric cylinder and related problems in electrostatics

Autori: D. Palaniappan

Zdroj: Journal of Physics A: Mathematical and General. 38:6253-6269

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, electrostatic potential, Abstract finite groups, 0103 physical sciences, obstacle, cyclic groups, Electro- and magnetostatics, 01 natural sciences, Diffraction, scattering

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2204674
https://doi.org/10.1088/0305-4470/38/27/011
http://iopscience.iop.org/article/10.1088/0305-4470/38/27/011/pdf
https://iopscience.iop.org/article/10.1088/0305-4470/38/27/011/meta
http://ui.adsabs.harvard.edu/abs/2005JPhA...38.6253P/abstract

A hybrid method for inverse boundary value problems in potential theory

Autori: Chapko, R. Kress, Rainer

Prispievatelia: Chapko, R. Kress, Rainer

Zdroj: Journal of Inverse and Ill-Posed Problems. 13:27-40

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, regularization, Inverse problems for PDEs, Numerical methods for inverse problems for boundary value problems involving PDEs, Newton method, Tikhonov regularization, Laplace equation, 0101 mathematics, 01 natural sciences, Dirichlet problem

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2152326
https://doi.org/10.1163/1569394053583711
https://www.degruyter.com/view/j/jiip.2005.13.issue-1/1569394053583711/1569394053583711.xml?lang=en
https://www.degruyter.com/view/j/jiip.2005.13.issue-1/1569394053583711/1569394053583711.xml
https://resolver.sub.uni-goettingen.de/purl?gro-2/121435

Application of radial basis meshless methods to direct and inverse biharmonic boundary value problems

Autori: Jichun Li

Zdroj: Communications in Numerical Methods in Engineering. 21:169-182

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, Inverse problems for PDEs, collocation, numerical examples, Numerical methods for inverse problems for boundary value problems involving PDEs, 01 natural sciences, Boundary value problems for higher-order elliptic equations, inverse problem, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, meshless method, Spectral, collocation and related methods for boundary value problems involving PDEs, 0101 mathematics, radial basis function, biharmonic boundary value problem

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2159903
https://doi.org/10.1002/cnm.736
https://www.onlinelibrary.wiley.com/doi/abs/10.1002/cnm.736

On a generalization of the Neumann problem for the Laplace equation outside cuts in a plane

Autori: A. O. Chikilev N. Ch. Krutitskaya V. V. Kolybasova a ďalší

Zdroj: Mathematical Methods in the Applied Sciences. 28:593-606

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, heat propagation, existence, Neumann problem, uniqueness, Integral representations, integral operators, integral equations methods in two dimensions, Laplace equation, cuts, 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, 01 natural sciences, thermoconductive cracks

Popis súboru: application/xml

Prístupová URL adresa: http://onlinelibrary.wiley.com/doi/10.1002/mma.583/abstract
http://ui.adsabs.harvard.edu/abs/2005MMAS...28..593K/abstract

A Carleman Function and the Cauchy Problem for the Laplace Equation: A Carleman function and the Cauchy problem for the Laplace equation

Autori: Sharof Yarmukhamedov

Zdroj: Siberian Mathematical Journal. 45:580-595

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, regularization, fundamental solution, Green's formula, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, harmonic function, Carleman formula, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, Mittag-Leffler entire function, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2112609
https://eudml.org/doc/51055
https://link.springer.com/article/10.1023/B%3ASIMJ.0000028622.69605.c0

Identification of source terms in 2-D IHCP

Autori: Diego A. Murio Z. Yi

Zdroj: Computers & Mathematics with Applications. 47:1517-1533

Predmety: Finite differences, Boundary value and inverse problems for harmonic functions in two dimensions, IHCP, Linear operators and ill-posed problems, regularization, finite differences, two-dimensional inverse heat conduction problem IHCP, Parabolic equations, parabolic equations, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, Finite difference methods applied to problems in thermodynamics and heat transfer, space marching schemes, identification of source terms, 01 natural sciences, Computational Mathematics, Computational Theory and Mathematics, Inverse problems in thermodynamics and heat transfer, Space marching schemes, Modelling and Simulation, 0103 physical sciences, Discrete mollification, Identification of source terms, 0101 mathematics, discrete mollification

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2142406
https://doi.org/10.1016/j.camwa.2004.06.004
https://core.ac.uk/display/82125673
https://www.sciencedirect.com/science/article/pii/S0898122104839695
http://www.sciencedirect.com/science/article/pii/S0898122104839695

On Invertibility of Elastic Single-Layer Potential Operator: On invertibility of elastic single-layer potential operator

Autori: Roman Vodička Vladislav Mantic

Zdroj: Journal of Elasticity. 74:147-173

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, multiply connected domain, 02 engineering and technology, single-layer potential, 01 natural sciences, boundary integral equation of the first kind, 0203 mechanical engineering, Classical linear elasticity, (symmetric Galerkin) boundary element method, Integral representations, integral operators, integral equations methods in two dimensions, 0101 mathematics, plane elasticity, solution uniqueness, logarithmic capacity, Boundary element methods applied to problems in solid mechanics, condition number

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2145842
https://doi.org/10.1023/b:elas.0000033861.83767.ce
https://link.springer.com/content/pdf/10.1023/B:ELAS.0000033861.83767.ce.pdf
https://link.springer.com/article/10.1023/B:ELAS.0000033861.83767.ce
https://msvlab.hre.ntou.edu.tw/JElas-Vodica-2004.pdf

A boundary value problem with an involutive shift in the boundary condition

Autori: A. N. Zarubin

Zdroj: Differential Equations. 40:1503-1506

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, harmonic function, existence, 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://link.springer.com/article/10.1007/s10625-004-0019-8

Positive Solutions of Nonlinear Elliptic Equations in Unbounded Domains in R 2: Positive solutions of nonlinear elliptic equations in unbounded domains in \(\mathbb{R}^2\)

Autori: Habib Mâagli Lamia Mâatoug

Zdroj: Potential Analysis. 19:261-279

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, positive solution, Green function, nonlinear elliptic equation, Nonlinear elliptic equations, 0101 mathematics, 01 natural sciences, Potentials and capacities, extremal length and related notions in higher dimensions

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1960144
https://doi.org/10.1023/a:1024055625428
https://link.springer.com/article/10.1023/A:1024055625428
https://link.springer.com/content/pdf/10.1023/A:1024055625428.pdf

positive solutions of nonlinear elliptic equations in unbounded domains in r 2: Positive solutions of nonlinear elliptic equations in unbounded domains in \(\mathbb{R}^2\)

Autori: Habib Mâagli Lamia Mâatoug

Zdroj: Potential Analysis. 19(3):261-279

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, positive solution, Green function, nonlinear elliptic equation, Nonlinear elliptic equations, Potentials and capacities, extremal length and related notions in higher dimensions

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1960144
https://doi.org/10.1023/a:1024055625428
https://link.springer.com/article/10.1023/A:1024055625428
https://link.springer.com/content/pdf/10.1023/A:1024055625428.pdf

On the Poisson Representation of a Function Harmonic in the Upper Half-Plane: On the Poisson representation of a function harmonic in the upper half-plane

Autori: Gergün, S. Ostrovskii, I. V.

Zdroj: Computational Methods and Function Theory
Journal of Mathematical Physics, Analysis, Geometry

Predmety: Phragmén-Lindelöf principle, Boundary value and inverse problems for harmonic functions in two dimensions, Phragmen - Lindel of Principle, Compactness, Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions, 01 natural sciences, Nevanlinna formula, Poisson formula, Green function, Subharmonic function, Integral representations, integral operators, integral equations methods in two dimensions, 0101 mathematics, Poisson integral, Harmonic, subharmonic, superharmonic functions in two dimensions, integral representation of harmonic function

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: http://repository.bilkent.edu.tr/bitstream/11693/48794/1/On_the_poisson_representation_of_a_function_harmonic_in_the_upper_half_plane.pdf
https://zbmath.org/2205523
https://link.springer.com/article/10.1007/BF03321016
https://avesis.deu.edu.tr/publication/details/7fab4a17-9eb2-4a1f-863a-3616b0dd15fb/oai
https://avesis.deu.edu.tr/publication/details/22c3e3c7-571e-4b91-be85-4720caf087c4/oai
https://hdl.handle.net/11693/48794
https://hdl.handle.net/11693/50650

On a Nonlinear Partial Differential Equation Arising in Magnetic Resonance Electrical Impedance Tomography: On a nonlinear partial differential equation arising in magnetic resonance electrical impedance tomography

Autori: Jin Keun Seo Sungwhan Kim Jeong Rock Yoon a ďalší

Zdroj: SIAM Journal on Mathematical Analysis. 34:511-526

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, Inverse problems for PDEs, Biomedical imaging and signal processing, interior measurement, current density imaging, conductivity reconstruction, uniqueness, Nonlinear elliptic equations, 01 natural sciences, 03 medical and health sciences, 0302 clinical medicine, magnetic resonance imaging, 0101 mathematics, electrical impedance tomography

Popis súboru: application/xml

Prístupová URL adresa: http://conservancy.umn.edu/bitstream/11299/3666/1/1803.pdf
https://zbmath.org/1848564
https://doi.org/10.1137/s0036141001391354
https://conservancy.umn.edu/bitstream/11299/3666/1/1803.pdf
https://yonsei.pure.elsevier.com/en/publications/on-a-nonlinear-partial-differential-equation-arising-in-magnetic-
https://conservancy.umn.edu/handle/11299/3666
https://epubs.siam.org/doi/abs/10.1137/S0036141001391354
https://dblp.uni-trier.de/db/journals/siamma/siamma34.html#KimKSY02

Szegő projections for hardy spaces of monogenic functions and applications: Szegő projections for Hardy spaces of monogenic functions and applications

Autori: Bernstein S. Lanzani L.

Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 29, Iss 10, Pp 613-624 (2002)

Predmety: Boundary value and inverse problems for harmonic functions in two dimensions, monogenic functions, Integral representations, integral operators, integral equations methods in higher dimensions, Hardy spaces, Kernel functions in one complex variable and applications, Bergman kernel, 01 natural sciences, Functions of hypercomplex variables and generalized variables, QA1-939, Integral representations, integral operators, integral equations methods in two dimensions, 0101 mathematics, Clifford, Cauchy, Szego, Mathematics, Szegő projection

Popis súboru: application/xml

Prístupová URL adresa: http://downloads.hindawi.com/journals/ijmms/2002/427561.pdf
https://zbmath.org/1780381
https://doi.org/10.1155/s0161171202011870
https://doaj.org/article/994e73d969fd4541a6ec9e9dadb6f8c3
http://downloads.hindawi.com/journals/ijmms/2002/427561.pdf
http://emis.maths.adelaide.edu.au/journals/HOA/IJMMS/Volume29_10/624.pdf
https://doaj.org/article/994e73d969fd4541a6ec9e9dadb6f8c3
https://www.emis.de/journals/HOA/IJMMS/Volume29_10/624.pdf
https://experts.syr.edu/en/publications/szeg%C3%B6-projections-for-hardy-spaces-of-monogenic-functions-and-app
https://downloads.hindawi.com/journals/ijmms/2002/427561.pdf
https://hdl.handle.net/11585/873560
https://doi.org/10.1155/S0161171202011870