On the behaviour as \(t \to \infty\) of solutions of the second mixed problem for a second-order parabolic equation

DOI10.1007/BF01442891zbMath0452.35046MaRDI QIDQ1148461

A. K. Gushchin

Publication date: 1980

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorNeumann boundary conditionsinfinite domainslinear parabolic equationsasymptotics of the solutionslower bounds of the Dirichlet integral

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) 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 (1)

Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem

Cites Work

• Continuity of Solutions of Parabolic and Elliptic Equations
• SOME PROPERTIES OF A GENERALIZED SOLUTION OF THE SECOND BOUNDARY-VALUE PROBLEM FOR A PARABOLIC EQUATION
• On stabilisation of solutions of the Cauchy problem for parabolic equations
• ON AN ESTIMATE OF THE DIRICHLET INTEGRAL IN UNBOUNDED DOMAINS
• STABILIZATION OF THE SOLUTIONS OF THE SECOND BOUNDARY VALUE PROBLEM FOR A SECOND ORDER PARABOLIC EQUATION

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