Výsledky vyhledávání - Boundary value and inverse problems for harmonic functions in two dimensions~

Some geometric relations for equipotential curves

Autoři: Yajun Zhou

Zdroj: Journal of Differential Equations. 433:113296

Témata: 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 souboru: application/xml

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

Some overdetermined boundary value problems for harmonic functions

Autoři: Gérard A. Philippin L. E. Payne

Zdroj: ZAMP Zeitschrift f�r angewandte Mathematik und Physik. 42:864-873

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, overdetermined exterior problem, simply connected plane domain, Stekloff eigenvalue problem, Overdetermined systems of PDEs with constant coefficients, General topics in linear spectral theory for PDEs, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/BF00944568
http://ui.adsabs.harvard.edu/abs/1991ZaMP...42..864P/abstract

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

Autoři: Jichun Li

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

Témata: 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 souboru: application/xml

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

A hybrid method for inverse boundary value problems in potential theory

Autoři: Chapko, R. Kress, Rainer

Přispěvatelé: Chapko, R. Kress, Rainer

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

Témata: 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 souboru: application/xml

Přístupová 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

The boundary inverse problem for the Laplace equation in two dimensions

Autoři: N D Aparicio Michael Pidcock

Zdroj: Inverse Problems. 12:565-577

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, Inverse problems for PDEs, Cauchy problem for the Laplace equation, Ill-posed problems for PDEs, first kind integral equation, boundary determination, 0101 mathematics, ill-posedness, 01 natural sciences, analytic continuation of complex functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/943193
https://doi.org/10.1088/0266-5611/12/5/003
https://iopscience.iop.org/article/10.1088/0266-5611/12/5/003
http://iopscience.iop.org/article/10.1088/0266-5611/12/5/003/pdf

Reflection and a mixed boundary value problem concerning analytic functions

Autoři: Miroslav Dont Josef Král Eva Dontová

Zdroj: Mathematica Bohemica. 122:317-336

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, integral equations, Fredholm type equation, boundary value problem, 0202 electrical engineering, electronic engineering, information engineering, Boundary value problems in the complex plane, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://dml.cz/bitstream/handle/10338.dmlcz/126150/MathBohem_122-1997-3_10.pdf
https://eudml.org/doc/248124

On the Inverse mean value Property of Harmonic Functions on Strips: On the inverse mean value property of harmonic functions on strips

Autoři: Werner Haussmann M. Goldstein L. Rogge

Zdroj: Bulletin of the London Mathematical Society. 24:559-564

Témata: domain identification, mean value, quadrature formula, integrable harmonic function, 0102 computer and information sciences, 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, Boundary value and inverse problems for harmonic functions in higher dimensions, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/120114
https://doi.org/10.1112/blms/24.6.559
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/blms/24.6.559
https://academic.oup.com/blms/article/24/6/559/489445
http://doi.wiley.com/10.1112/blms/24.6.559

A Fourier method for the construction of certain extremal solutions of the inverse Dirichlet problem in two dimensions

Autoři: Stephen P. Huestis

Zdroj: Inverse Problems. 11:1163-1175

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, Inverse problems for PDEs, Lagrange multipliers, boundary value function, Integral representations, integral operators, integral equations methods in two dimensions, Green's function, 0101 mathematics, representation theorem, truncated Fourier series, 01 natural sciences, inverse Dirichlet problem for Laplace's equation

Popis souboru: application/xml

Přístupová URL adresa: http://iopscience.iop.org/article/10.1088/0266-5611/11/6/003/pdf
http://iopscience.iop.org/0266-5611/11/6/003/pdf/0266-5611_11_6_003.pdf

On the Treatment of a Dirichlet–Neumann Mixed Boundary Value Problem for Harmonic Functions by an Integral Equation Method: On the treatment of a Dirichlet-Neumann mixed boundary value problem for harmonic functions by an integral equation method

Autoři: R. Kress R. González

Zdroj: SIAM Journal on Mathematical Analysis. 8:504-517

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, Boundary value problems for second-order elliptic equations, General existence and uniqueness theorems (PDE), 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3556547
https://doi.org/10.1137/0508038
https://epubs.siam.org/doi/abs/10.1137/0508038

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

Autoři: A. N. Zarubin

Zdroj: Differential Equations. 40:1503-1506

Témata: 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 souboru: application/xml

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

ON AN INTEGRAL EQUATION OF SOME BOUNDARY VALUE PROBLEMS FOR HARMONIC FUNCTIONS IN PLANE MULTIPLY CONNECTED DOMAINS WITH NONREGULAR BOUNDARY: On an integral equation of some boundary value problems for harmonic functions in plane multiply connected domains with nonregular boundary

Autoři: S E Mikhaĭlov

Zdroj: Mathematics of the USSR-Sbornik. 49:525-536

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, logarithmic potential, cusps, Neumann series, Fredholm radius, angular potential, Fredholm integral equations, 01 natural sciences, integral equations method, oblique derivative, corner points, Integral representations, integral operators, integral equations methods in two dimensions, 0101 mathematics, multiply connected domains, Dirichlet problem

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/1984SbMat..49..525M/abstract
http://people.brunel.ac.uk/~mastssm/Papers/Mikhailov_MatSb1984.pdf

A mixed boundary value problem for a harmonic function in a half-space

Autoři: V.N. Vorob'ev A.B. Efimov

Zdroj: USSR Computational Mathematics and Mathematical Physics. 14:232-236

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, Boundary value problems for second-order elliptic equations, Harmonic, subharmonic, superharmonic functions in two dimensions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3487805
https://doi.org/10.1016/0041-5553(74)90211-0
https://www.sciencedirect.com/science/article/pii/0041555374902110

A Denseness Theorem with an Application to a Two-Dimensional Inverse Potential Refraction Problem: A denseness theorem with an application to a two-dimensional inverse potential refraction problem

Autoři: Bernd Hofmann

Zdroj: SIAM Journal on Mathematical Analysis. 30:896-911

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, Inverse problems for PDEs, parameter identification potential refraction, 0101 mathematics, inverse conductivity problem, 01 natural sciences, domain derivative

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1308656
https://doi.org/10.1137/s0036141098336108
https://epubs.siam.org/doi/abs/10.1137/S0036141098336108

Boundary values versus dilatations of harmonic mappings

Autoři: Walter Hengartner Daoud Bshouty

Zdroj: Journal d'Analyse Mathématique. 72:141-164

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, Jordan domain, univalent harmonic mappings, General theory of univalent and multivalent functions of one complex variable, Blaschke product, 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1146577
https://doi.org/10.1007/bf02843157
https://link.springer.com/article/10.1007/BF02843157

Note on a boundary value problem of poisson’s equation: Note on a boundary value problem of Poisson's equation

Autoři: Yu Hongquan Feng Chaokeng Hsu Li-zhi

Zdroj: Applied Mathematics-A Journal of Chinese Universities. 10:35-38

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, Poisson's equation, 0202 electrical engineering, electronic engineering, information engineering, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, 02 engineering and technology, Green's function, 0101 mathematics, similarity analysis, 01 natural sciences, Solutions to PDEs in closed form

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007/BF02663891.pdf
https://en.cnki.com.cn/Article_en/CJFDTOTAL-GXYY501.003.htm
https://link.springer.com/article/10.1007/BF02663891

On an inverse logarithmic potential problem for a point mass model using data on restricted boundary

Autoři: Takashi Ohe Kohzaburo Ohnaka

Zdroj: Nonlinear Analysis: Theory, Methods & Applications. 30:2209-2214

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, Inverse problems for PDEs, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, 0103 physical sciences, Fourier transform, uniqueness question, 0202 electrical engineering, electronic engineering, information engineering, window Fourier transform, 02 engineering and technology, point mass model, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1112518
https://doi.org/10.1016/s0362-546x(97)00108-9
https://www.sciencedirect.com/science/article/pii/S0362546X97001089

Harmonic functions satisfying a radiation boundary condition

Autoři: Green H.S. Bracken A.J. Bass L.

Zdroj: Computers & Mathematics with Applications. 22:23-38

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, smooth convoluted boundary, Biochemistry, molecular biology, diffusion, 2611 Modelling and Simulation, Computational Mathematics, 2604 Applied Mathematics, Computational Theory and Mathematics, Modelling and Simulation, Conformal mappings of special domains, 2605 Computational Mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, membrane

Popis souboru: application/xml

Přístupová URL adresa: https://espace.library.uq.edu.au/view/UQ:395922
https://core.ac.uk/display/43401710
https://www.sciencedirect.com/science/article/pii/0898122191900397

ELEMENTARY EXACT METHOD FOR SOLVING MIXED BOUNDARY-VALUE PROBLEMS OF POTENTIAL THEORY, WITH APPLICATION TO HALF-PLANE CONTACT AND CRACK PROBLEMS: Elementary exact method for solving mixed boundary value problems of potential theory, with application to half-plane contact and crack problems

Autoři: V. I. Fabrikant E. N. Karapetian

Zdroj: The Quarterly Journal of Mechanics and Applied Mathematics. 47:159-174

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, Elastic materials, Fracture and damage, charge-density distribution, Theories of friction (tribology), punch problem, half-plane crack, 02 engineering and technology, integral representation, Contact in solid mechanics, integral equation, 0203 mechanical engineering, Dynamical problems in solid mechanics, 0210 nano-technology

Popis souboru: application/xml

Přístupová URL adresa: https://academic.oup.com/qjmam/article/47/1/159/1889069

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

Autoři: Sharof Yarmukhamedov

Zdroj: Siberian Mathematical Journal. 45:580-595

Témata: 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 souboru: application/xml

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

An Inverse Problem for the Double Layer Potential: An inverse problem for the double layer potential

Autoři: Peter Ebenfelt Dmitry Khavinson Harold S. Shapiro

Zdroj: Computational Methods and Function Theory. 1:387-401

Témata: Boundary value and inverse problems for harmonic functions in two dimensions, 31A25, 31B20, matching problem, Mathematics - Complex Variables, \(R\)-domain, Jordan domains, 01 natural sciences, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, Dirichlet problem

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/math/0108200v1.pdf
http://arxiv.org/abs/math/0108200
https://zbmath.org/1851116
https://doi.org/10.1007/bf03320998
https://link.springer.com/article/10.1007/BF03320998