Uniqueness of the solution of the Dirichlet problem for an \(n\)-dimensional pseudoparabolic equation

DOI10.1134/S0012266112100126zbMath1262.35003WikidataQ115252103 ScholiaQ115252103MaRDI QIDQ1935405

E. A. Utkina

Publication date: 15 February 2013

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

method of a priori estimates

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Two different statements of the Dirichlet problem for a \(2n\)th-order pseudoparabolic equation ⋮ Unnamed Item ⋮ Inverse problems of recovering external sources in the equation of longitudinal wave propagation ⋮ Inverse boundary-value problem for the equation of longitudinal wave propagation with non-self-adjoint boundary conditions

Cites Work

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• Dirichlet problem for a fourth-order equation
• A uniqueness theorem for solution of one Dirichlet problem
• On the Dirichlet problem for fourth-order linear hyperbolic equations
• Dirichlet, Neumann and mixed Dirichlet-Neumann boundary value problems for U_xy = 0 in rectangles

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