The Vishik–Lyusternik method in the mixed problem for parabolic operators unresolved with respect to the highest time derivative

DOI10.1090/S0077-1554-07-00161-6zbMath1207.35177OpenAlexW1675367792MaRDI QIDQ3530545

Leonid R. Volevich

Publication date: 20 October 2008

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0077-1554-07-00161-6

zbMATH Keywords

characteristic equationanalog of Shapiro-Lopatinskii condition

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial value problems for second-order parabolic systems (35K45) Second-order parabolic systems (35K40)

Cites Work

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• The Cauchy problem for hyperbolic equations not resolved with respect to the highest time derivative
• Coercive singular perturbations. I: A priori estimates
• Boundary-value problems for a class of elliptic operator pencils
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• The Vishik–Lyusternik method in elliptic problems with a small parameter
• On elliptic operator pencils with general boundary conditions

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