Unique solvability of a linear parabolic problem with nonlocal time data

DOI10.1134/S0037446621020129zbMath1461.35140OpenAlexW3144395355MaRDI QIDQ2661748

Victor Nikolayevich Starovoitov

Publication date: 8 April 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621020129

zbMATH Keywords

solvabilityuniqueness of solutiondifferential equation in Hilbert spacenonlocal time data

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Initial value problems for second-order parabolic equations (35K15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

On the stability of parabolic differential and difference equations with a time-nonlocal condition

Cites Work

• A problem with time-averaged data for nonlinear parabolic equations
• A variational principle for linear evolution problems nonlocal in time
• Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
• Nonlocal in time problem for anisotropic parabolic equations with variable exponents of nonlinearities
• On some nonlocal boundary value problems for evolution equations
• Uniqueness theorems for linear non-local problems for abstract differential equations
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