Suchergebnisse - Boundary value and inverse problems for harmonic functions in two dimensions

Some geometric relations for equipotential curves

Autoren: Yajun Zhou

Quelle: Journal of Differential Equations. 433:113296

Schlagwörter: 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)

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Gérard A. Philippin L. E. Payne

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Jichun Li

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Chapko, R. Kress, Rainer

Weitere Verfasser: Chapko, R. Kress, Rainer

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: N D Aparicio Michael Pidcock

Quelle: Inverse Problems. 12:565-577

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Miroslav Dont Josef Král Eva Dontová

Quelle: Mathematica Bohemica. 122:317-336

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Werner Haussmann M. Goldstein L. Rogge

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Stephen P. Huestis

Quelle: Inverse Problems. 11:1163-1175

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: R. Kress R. González

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: A. N. Zarubin

Quelle: Differential Equations. 40:1503-1506

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: S E Mikhaĭlov

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: V.N. Vorob'ev A.B. Efimov

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Bernd Hofmann

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Walter Hengartner Daoud Bshouty

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Yu Hongquan Feng Chaokeng Hsu Li-zhi

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Takashi Ohe Kohzaburo Ohnaka

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Sharof Yarmukhamedov

Quelle: Siberian Mathematical Journal. 45:580-595

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Peter Ebenfelt Dmitry Khavinson Harold S. Shapiro

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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