On the solvability of the characteristic Dirichlet problem for linear degenerate parabolic equations

DOI10.1090/S0002-9939-09-10053-9zbMath1184.35173OpenAlexW2035568110MaRDI QIDQ3402168

Alessandro Oliaro, Nickolai Kutev, Peter R. Popivanov

Publication date: 2 February 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10053-9

zbMATH Keywords

elliptic regularizationdivergence formboundary gradient blowupslack of hypoellipticity

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Cites Work

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• Critical Gevrey index for hypoellipticity of parabolic operators and Newton polygons
• Quasilinear elliptic-parabolic differential equations
• Gevrey Local Solvability for Degenerate Parabolic Operators of Higher Order
• User’s guide to viscosity solutions of second order partial differential equations
• On some degenerate parabolic equations
• Degenerate elliptic‐parabolic equations of second order

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