On solvability of a linear parabolic problem with nonlocal boundary conditions

DOI10.1007/s10958-024-06910-xOpenAlexW4390863018WikidataQ130073438 ScholiaQ130073438MaRDI QIDQ6186375

Olesya V. Solonukha

Publication date: 2 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-024-06910-x

zbMATH Keywords

generalized solutionlinear parabolic equationBitsadze-Samarskii boundary conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem
• Mixed problems for strongly elliptic differential-difference equations in a cylinder
• Boundary-value problems for elliptic functional-differential equations and their applications
• The second boundary-value problem for parabolic differential-difference equations
• On a certain property of a regular difference operator with variable coefficients
• Non-Local Elliptic Boundary Value Problems
• Elliptic functional differential equations and applications

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