Asymptotic properties of solutions of the Dirichlet problem in the half-plane for differential-difference elliptic equations

DOI10.1134/S0001434616090297zbMath1361.35187MaRDI QIDQ509169

A. B. Muravnik

Publication date: 9 February 2017

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

qualitative propertieselliptic equationdifferential-difference equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial functional-differential equations (35R10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (18)

Elliptic equations with translations of general form in a half-space ⋮ Estimates of solutions of elliptic differential-difference equations with degeneration ⋮ Hyperbolic differential-difference equations with nonlocal potentials ⋮ Elliptic differential-difference equations with differently directed translations in half-spaces ⋮ Half-plane differential-difference elliptic problems with general-kind nonlocal potentials ⋮ Classical solutions of hyperbolic differential-difference equations with several nonlocal terms ⋮ Exponential stability of a certain semigroup and applications ⋮ On the half-plane Dirichlet problem for differential-difference elliptic equations with several nonlocal terms ⋮ Elliptic functional differential equations with degenerations ⋮ Elliptic differential-difference equations in the half-space ⋮ On global classical solutions of hyperbolic differential-difference equations ⋮ Classical solutions of hyperbolic equations with nonlocal potentials ⋮ Elliptic differential-difference equations of general form in a half-space ⋮ Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling ⋮ Asymptotic properties of solutions of two-dimensional differential-difference elliptic problems ⋮ Traces of generalized solutions of elliptic differential-difference equations with degeneration ⋮ Global classical solutions of some two-dimensional hyperbolic differential-difference equations ⋮ Elliptic problems with nonlocal potential arising in models of nonlinear optics

Cites Work

• On the Cauchy problem for differential-difference parabolic equations with high-order nonlocal terms of general kind
• On asymptotics of solutions of parabolic equations with nonlocal high-order terms
• On the asymptotics of the solution of the Cauchy problem for some differential-difference parabolic equations
• On asymptotic behavior of solutions of the Dirichlet problem in half-space for linear and quasi-linear elliptic equations
• Elliptic functional differential equations and applications
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