Results 21 to 30 of about 12,245,009 (305)
Dirichlet and Neumann Boundary Value Problems for the Polyharmonic Equation in the Unit Ball
Mathematics, 2021 In the previous author’s works, a representation of the solution of the Dirichlet boundary value problem for the biharmonic equation in terms of Green’s function is found, and then it is shown that this representation for a ball can be written in the ...
Valery Karachik
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On the exterior Dirichlet problem for special Lagrangian equations [PDF]
Transactions of the American Mathematical Society, 2017 In this paper, we establish the existence and uniqueness theorem of the exterior Dirichlet problem for special Lagrangian equations with prescribed asymptotic behavior at infinity.
Zhisu Li
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Recovering the shape of an equilateral quantum tree with the Dirichlet conditions at the pendant vertices [PDF]
Opuscula MathematicaWe consider two spectral problems on an equilateral rooted tree with the standard (continuity and Kirchhoff's type) conditions at the interior vertices (except of the root if it is interior) and Dirichlet conditions at the pendant vertices (except of the
Anastasia Dudko +2 more
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On Ambarzumian type theorems for tree domains [PDF]
Opuscula Mathematica, 2022 It is known that the spectrum of the spectral Sturm-Liouville problem on an equilateral tree with (generalized) Neumann's conditions at all vertices uniquely determines the potentials on the edges in the unperturbed case, i.e. case of the zero potentials
Vyacheslav Pivovarchik
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Notions of Dirichlet problem for functions of least gradient in metric measure spaces [PDF]
Revista matemática iberoamericana, 2016 We study two notions of Dirichlet problem associated with BV energy minimizers (also called functions of least gradient) in bounded domains in metric measure spaces whose measure is doubling and supports a $(1,1)$-Poincare inequality.
R. Korte +3 more
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Finite element approximations of the nonhomogeneous fractional Dirichlet problem [PDF]
, 2017 We study finite element approximations of the nonhomogeneous Dirichlet problem for the fractional Laplacian. Our approach is based on weak imposition of the Dirichlet condition and incorporating a nonlocal analogous of the normal derivative as a Lagrange
Gabriel Acosta +2 more
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Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions
Axioms, 2018 The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet ...
Jean-Daniel Djida, Arran Fernandez
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On the Dirichlet problem for A-harmonic functions
Доповiдi Нацiональної академiї наук України, 2023 We study the Dirichlet boundary value problem with continuous boundary data for the A-harmonic equations div[A grad u] = 0 in an arbitrary bounded domain D of the complex plane £ with no boundary component degenerated to a single point.
V.Ya. Gutlyanskiĭ +3 more
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Three spectra problem for Stieltjes string equation and Neumann conditions
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 Spectral problems are considered which appear in description of small transversal vibrations of Stieltjes strings. It is shown that the eigenvalues of the Neumann-Neumann problem, i.e.
Anastasia Dudko, Vyacheslav Pivovarchik
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The hyperbolic dirichlet problem
Mathematical and Computer Modelling, 2000 The authors show that there are uncountably many rotations, that assure the existence and uniqueness of the solution to the hyperbolic Dirichlet problem for a transitive curve being an ellipse. Moreover, a numerical algorithm for the computation of the solution is presented.
Pavani, R., Talamo, R.
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