Well-posed initial problem for parabolic differential-difference equations with shifts of time argument

DOI10.3103/S1066369X15040027zbMath1357.35173MaRDI QIDQ2515371

V. Zh. Sakbaev, A. Yaakbarieh

Publication date: 31 July 2015

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev spacewell-posed problemdifferential-difference equation

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)

Related Items (5)

A classical solution to a hyperbolic differential-difference equation with a translation by an arbitrary vector ⋮ Classical solutions of a multidimensional hyperbolic differential-difference equation with shifts of various directions in the potentials ⋮ A mixed problem for the heat equation with advanced time in boundary conditions ⋮ Smooth solutions of hyperbolic equations with translation by an arbitrary vector in the free term ⋮ On one Cauchy problem for a hyperbolic differential-difference equation

Cites Work

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• The correct solvability of some differential-difference equations in the scale of Sobolev spaces
• Functional-differential equations in Sobolev spaces and related problems of spectral theory
• Functional-differential equations. Transl. from the Russian
• Well-defined solvability of some differential-difference equations in Sobolev spaces

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