Non-local problems with integral displacement for highorder parabolic equations

DOI10.26516/1997-7670.2021.36.14zbMath1472.35213OpenAlexW3176520404MaRDI QIDQ1980380

A. I. Kozhanov, Aleksandra Vladimirovna Dyuzheva

Publication date: 8 September 2021

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1374

zbMATH Keywords

existenceuniquenessregular solutionsintegral boundary conditionshigh-order parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Integro-partial differential equations (35R09)

Related Items (5)

A problem with nonlocal conditions for a one-dimensional parabolic equation ⋮ A problem with a non-local condition for a fourth-order equation with multiple characteristics ⋮ BOUNDARY VALUE PROBLEM WITH A NONLOCAL BOUNDARY CONDITION OF INTEGRAL FORM FOR A MULTIDIMENSIONAL EQUATION OF IV ORDER ⋮ On solvability of nonlocal boundary value problem for a differential equation of composite type ⋮ On a nonlocal inverse boundary value problem for the sixth-order Boussinesq equation with nonlocal time integral conditions of the second kind

Cites Work

• Solvability of a boundary-value problem with an integral boundary condition of the second kind for equations of odd order
• A problem with a nonlocal boundary condition for one class of odd-order equations
• Solvability of a boundary value problem for a pseudoparabolic equation with nonlocal integral conditions
• On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations
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