Search Results - Boundary value and inverse problems for harmonic functions in higher dimensions

Dirichlet Boundary Value Problems for Monogenic Functions of Prescribed Hölder Continuously Differentiable Data on Distinguishing Boundaries in Clifford Analysis: Dirichlet boundary value problems for monogenic functions of prescribed Hölder continuously differentiable data on distinguishing boundaries in Clifford analysis

Authors: Dao Viet Cuong Wolfgang Tutschke Le Hung Son

Source: Complex Analysis and Operator Theory. 19

Subject Terms: monogenic functions, Boundary value problems for linear first-order PDEs, Cauchy-Riemann system in higher dimensions, Functions of hypercomplex variables and generalized variables, boundary value problem, Boundary value and inverse problems for harmonic functions in higher dimensions, Clifford analysis

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Access URL: https://zbmath.org/8033586
https://doi.org/10.1007/s11785-025-01679-6

A special green's function for the biharmonic operator and its application to an inverse boundary value problem: A special Green's function for the biharmonic operator and its application to an inverse boundary value problem

Authors: Masaru Ikehata

Source: Computers & Mathematics with Applications. 22:53-66

Subject Terms: Inverse problems for PDEs, fundamental solution, inverse scattering problems, inverse boundary value problems, Computational Mathematics, Green-Fadeev function, Computational Theory and Mathematics, Modelling and Simulation, Boundary value and inverse problems for harmonic functions in higher dimensions, Biharmonic and polyharmonic equations and functions in higher dimensions, Dirichlet to Neumann map

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Access URL: https://www.sciencedirect.com/science/article/pii/089812219190131M
https://www.sciencedirect.com/science/article/pii/089812219190131M#!

Inverse boundary value problems for the perturbed polyharmonic operator

Authors: Krupchyk, Katsiaryna Lassas, Matti Uhlmann, Gunther

Source: Transactions of the American Mathematical Society, vol 366, iss 1

Subject Terms: Inverse problems for PDEs, General Mathematics, math-ph, Dirichlet-to-Neumann map, FOS: Physical sciences, 31B30, polyharmonic operator, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, complex geometric optics, math.MP, Mathematics - Analysis of PDEs, FOS: Mathematics, 35R30, 31B20, 31B30, 35J40, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, math.AP, Mathematical Physics, Applied Mathematics, uniqueness, Mathematical Physics (math-ph), 31B20, 35J40, Pure Mathematics, 35R30, Boundary value problems for higher-order elliptic equations, inverse boundary value problem, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/1102.5542
https://www.ams.org/journals/tran/2014-366-01/S0002-9947-2013-05713-3/
https://www.math.washington.edu/~gunther/publications/Papers/biharmonictransactions.pdf
https://www.ams.org/tran/2014-366-01/S0002-9947-2013-05713-3/S0002-9947-2013-05713-3.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=4606641
https://escholarship.org/content/qt92h4x578/qt92h4x578.pdf?t=om6wk1
https://escholarship.org/uc/item/92h4x578.pdf
https://escholarship.org/uc/item/92h4x578

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

Authors: Werner Haussmann M. Goldstein L. Rogge

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

Subject Terms: 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

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Access 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

Solvability of a nonlocal boundary value problem and the smoothness of the domain

Authors: D. V. Kapanadze

Source: Differential Equations. 40:1507-1511

Subject Terms: nonlocal boundary value problem, harmonic function, existence, smooth domain, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions

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Access URL: https://zbmath.org/2203216
https://doi.org/10.1007/s10625-005-0094-5
https://link.springer.com/article/10.1007%2Fs10625-005-0094-5
https://link.springer.com/content/pdf/10.1007/s10625-004-0020-2.pdf

A Factorization Method for an Inverse Neumann Problem for Harmonic Vector Fields: A factorization method for an inverse Neumann problem for harmonic vector fields

Authors: Kress, Rainer

Contributors: Kress, Rainer

Source: gmj. 10:549-560

Subject Terms: Neumann boundary conditions, Linear integral equations, Integral representations, integral operators, integral equations methods in higher dimensions, Inverse problems for integral equations, linear sampling method, shape reconstruction, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, Electro- and magnetostatics, 01 natural sciences

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Access URL: https://zbmath.org/2064659
http://emis.math.tifr.res.in/journals/GMJ/vol10/v10n3-11.pdf
https://eudml.org/doc/50974
https://www.emis.de/journals/GMJ/vol10/v10n3-11.pdf
http://emis.library.cornell.edu/journals/GMJ/vol10/v10n3-11.pdf
https://www.maths.tcd.ie/EMIS/journals/GMJ/vol10/v10n3-11.pdf
https://www.univie.ac.at/EMIS/journals/GMJ/vol10/v10n3-11.pdf
https://resolver.sub.uni-goettingen.de/purl?gro-2/121438

Compact contact sets of sub-quadratic solutions to the thin obstacle problem

Authors: Eberle, S. Yu, H.

Source: BIRD. BCAM's Institutional Repository Data
instname

Subject Terms: Variational methods for second-order elliptic equations, thin obstacle problem, Smoothness and regularity of solutions to PDEs, elliptic equations, 35R35, 35B65, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, free boundary problems, FOS: Mathematics, Free boundary problems for PDEs, Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators, global solutions, Boundary value and inverse problems for harmonic functions in higher dimensions, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2304.03939
http://hdl.handle.net/20.500.11824/1975
https://zbmath.org/7837857
https://doi.org/10.1016/j.aim.2024.109635
https://hdl.handle.net/20.500.11824/1975

Meshless analysis of potential problems in three dimensions with the hybrid boundary node method

Authors: Masataka Tanaka Toshiro Matsumoto Jianming Zhang

Source: International Journal for Numerical Methods in Engineering. 59:1147-1166

Subject Terms: meshless methods, Integral representations, integral operators, integral equations methods in higher dimensions, convergence, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Boundary element methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, boundary layer, numerical results, hybrid boundary node method, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, Laplace's equation, boundary integral equation method, 0103 physical sciences, mesh refinement, 0101 mathematics, moving least-squares approximation, Boundary value and inverse problems for harmonic functions in higher dimensions

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Access URL: https://ui.adsabs.harvard.edu/abs/2004IJNME..59.1147Z/abstract
https://onlinelibrary.wiley.com/doi/10.1002/nme.904

Conditional stability estimation for an inverse boundary problem with non-smooth boundary in $\mathcal {R}^3$: Conditional stability estimation for an inverse boundary problem with non-smooth boundary in \(\mathcal{R}^3\)

Authors: Jin Cheng Masahiro Yamamoto Y.C. Hon

Source: Transactions of the American Mathematical Society. 353:4123-4138

Subject Terms: Inverse problems for PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, logarithmic conditional stability estimate, harmonic measure, 0101 mathematics, unknown boundary, Boundary value and inverse problems for harmonic functions in higher dimensions, 01 natural sciences, Cauchy problem of the Laplace equation

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Access URL: https://www.ams.org/tran/2001-353-10/S0002-9947-01-02758-1/S0002-9947-01-02758-1.pdf
https://zbmath.org/1614737
https://doi.org/10.1090/s0002-9947-01-02758-1
https://www.ams.org/journals/tran/2001-353-10/S0002-9947-01-02758-1/home.html
https://www.ams.org/tran/2001-353-10/S0002-9947-01-02758-1/S0002-9947-01-02758-1.pdf
http://www.mathaware.org/tran/2001-353-10/S0002-9947-01-02758-1/S0002-9947-01-02758-1.pdf

Wavelet approximations on closed surfaces and their application to boundary-value problems of potential theory

Authors: Freeden, Willi Schneider, F.

Source: Mathematical Methods in the Applied Sciences. 21:129-163

Subject Terms: band-limited wavelets, exterior Neumann problem, Computer-aided design (modeling of curves and surfaces), discrete wavelet transform, harmonic potential functions, harmonic potentials, Multidimensional problems, Nontrigonometric harmonic analysis involving wavelets and other special systems, wavelets on closed surfaces, ddc:510, Boundary value and inverse problems for harmonic functions in higher dimensions, exterior Dirichlet problem

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Access URL: http://ui.adsabs.harvard.edu/abs/1998MMAS...21..129F/abstract
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/606
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/606
https://kluedo.ub.rptu.de/frontdoor/index/index/docId/606

Harmonic functions in a cylinder with normal derivatives vanishing on the boundary

Authors: Ikuko Miyamoto Hidenobu Yoshida

Source: Annales Polonici Mathematici. 74:229-235

Subject Terms: Variational methods for second-order elliptic equations, growth condition, Neumann problem, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, harmonic functions, series expansion

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/111493?download.pdf
https://zbmath.org/1548797
https://doi.org/10.4064/ap-74-1-229-235
https://zbmath.org/1568119
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-apmv74z1p229bwm

On the oblique derivative problem for harmonic functions

Authors: A. Janušauskas

Source: Lithuanian Mathematical Journal. 38:328-334

Subject Terms: oblique derivative problem, Boundary value problems for second-order elliptic equations, harmonic function, solvability conditions, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007%2FBF02465817
https://link.springer.com/content/pdf/10.1007/BF02465817.pdf

Asymptotic Properties of Harmonic and M-Harmonic Functions near the Boundary of the Unit Ball: Asymptotic properties of harmonic and \(M\)-harmonic functions near the boundary of the unit ball

Authors: Maria Roginskaya

Source: Journal of Mathematical Sciences. 115:2262-2266

Subject Terms: Pluriharmonic and plurisubharmonic functions, plurisubharmonic measure, 0103 physical sciences, Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, 01 natural sciences

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Access URL: https://zbmath.org/1971375
https://doi.org/10.1023/a:1022801324298
https://link.springer.com/article/10.1023/A%3A1022801324298

Existence of boundary values for metaharmonic functions

Authors: V P Mikhailov

Source: Sbornik: Mathematics. 190:1417-1448

Subject Terms: polyharmonic equation in a half-space, higher-order elliptic equations, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, Boundary value and inverse problems for harmonic functions in higher dimensions, Higher-order elliptic equations, \(L^2\)-boundary values, 01 natural sciences, Boundary values of solutions to elliptic equations and elliptic systems

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Access URL: https://inis.iaea.org/Search/search.aspx?orig_q=RN:40073306
http://www.osti.gov/scitech/biblio/21202889-existence-boundary-values-metaharmonic-functions
http://iopscience.iop.org/article/10.1070/SM2004v195n12ABEH000866/pdf
http://iopscience.iop.org/article/10.1070/SM2004v195n12ABEH000866
https://iopscience.iop.org/article/10.1070/SM2004v195n12ABEH000866/pdf
http://ui.adsabs.harvard.edu/abs/2004SbMat.195.1781M/abstract

Harmonic functions satisfying a radiation boundary condition

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

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

Subject Terms: 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

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

Lp-Solvability of a fourth-order boundary-value problem at resonance: \(L^ p\)-solvability of a fourth-order boundary-value problem at resonance

Authors: Chaitan P. Gupta Ying C. Kwong

Source: Applied Mathematics and Computation. 65:151-159

Subject Terms: Boundary value problems for second-order elliptic equations, Existence of generalized solutions of PDE, weak solution, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, Boundary value and inverse problems for harmonic functions in higher dimensions, first eigenvalue, 01 natural sciences, biharmonic boundary value problems

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Access URL: https://zbmath.org/720449
https://doi.org/10.1016/0096-3003(94)90172-4
http://www.sciencedirect.com/science/article/pii/0096300394901724
https://www.sciencedirect.com/science/article/pii/0096300394901724

Uniqueness for an overdetermined boundary value problem for the p-Laplacian: Uniqueness for an overdetermined boundary value problem for the \(p\)-Laplacian

Authors: Farid Bahrami Henrik Shahgholian

Source: Proceedings of the American Mathematical Society. 126:745-750

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Free boundary problems for PDEs, uniqueness, 0101 mathematics, inverse domain problem, Boundary value and inverse problems for harmonic functions in higher dimensions, \(p\)-Laplacian, 01 natural sciences

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Access URL: https://www.ams.org/proc/1998-126-03/S0002-9939-98-04087-8/S0002-9939-98-04087-8.pdf
https://www.ams.org/journals/proc/1998-126-03/S0002-9939-98-04087-8/home.html
https://www.ams.org/proc/1998-126-03/S0002-9939-98-04087-8/S0002-9939-98-04087-8.pdf
https://www.jstor.org/stable/118660

A mixed boundary value problem for Laplace′s equation involving a nearly circular disk: A mixed boundary value problem for Laplace's equation involving a nearly circular disk

Authors: A. Chakrabarti D. P. Manna

Source: International Journal of Mathematics and Mathematical Sciences, Vol 17, Iss 1, Pp 125-128 (1994)

Subject Terms: Abel's equation, Integral representations, integral operators, integral equations methods in higher dimensions, electrostatic problem, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, mixed boundary value problem, perturbation scheme, 01 natural sciences, Laplace's equation, QA1-939, nearly circular disk, Green's identity, 0101 mathematics, Abel's integral equations, Boundary value and inverse problems for harmonic functions in higher dimensions, Mathematics, Green's second identity

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Access URL: http://downloads.hindawi.com/journals/ijmms/1994/432735.pdf
https://doaj.org/article/d570dd3a738a418f9604ef44e64f0838
https://downloads.hindawi.com/journals/ijmms/1994/432735.pdf
https://www.hindawi.com/journals/ijmms/1994/432735/

Cauchy’s Problem for Harmonic Functions with Entire Data on a Sphere: Cauchy's problem for harmonic functions with entire data on a sphere

Authors: Dmitry Khavinson

Source: Canadian Mathematical Bulletin. 40:60-66

Subject Terms: Cauchy problem, Second-order elliptic equations, harmonic function, harmonic extension, Laplace equation, 0101 mathematics, 16. Peace & justice, Boundary value and inverse problems for harmonic functions in higher dimensions, Continuation and prolongation of solutions to PDEs, 01 natural sciences

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Access URL: https://cms.math.ca/cmb/abstract/pdf/148766.pdf

The third boundary value problem in potential theory for domains with a piecewise smooth boundary

Authors: Dagmar Medková

Source: Czechoslovak Mathematical Journal. 47:651-679

Subject Terms: single layer potential, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Boundary value problems for second-order elliptic equations, third boundary value problem, Laplace equation, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, 01 natural sciences, nonsmooth domains

File Description: application/xml

Access URL: http://dml.cz/bitstream/handle/10338.dmlcz/127385/CzechMathJ_47-1997-4_7.pdf
https://link.springer.com/article/10.1023/A:1022818618177
https://eudml.org/doc/30390
https://link.springer.com/content/pdf/10.1023/A:1022818618177.pdf