ON A PROBLEM WITH NONLOCAL BOUNDARY CONDITION FOR A PARABOLIC EQUATION

DOI10.1070/SM1993V074N01ABEH003345zbMath0774.35031MaRDI QIDQ3137955

Aleksej V. Filinovskij, Leonid A. Muravei

Publication date: 14 October 1993

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

zbMATH Keywords

optimal controlnonlocal boundary conditionone-dimensional parabolic equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (7)

The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data ⋮ Non-local problem with an integral condition for a parabolic equation with a Bessel operator ⋮ Weak solutions for nonlocal boundary value problems with low regularity data ⋮ Solvability and Blow-up of Solutions of Semi Linear Parabolic Problem with Integral Condition of Second Type ⋮ An inverse problem of finding the time-dependent diffusion coefficient from an integral condition ⋮ An inverse diffusion problem with nonlocal boundary conditions ⋮ The existence and behavior of solutions for nonlocal boundary problems

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