A global approach to fully nonlinear parabolic problems

DOI10.1090/S0002-9947-00-02541-1zbMath0954.35090OpenAlexW1577435775MaRDI QIDQ4501119

Athanassios G. Kartsatos, Igor V. Skrypnik

Publication date: 3 September 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02541-1

zbMATH Keywords

initial-boundary value problemGalerkin approximationmapping of type \((S)_+\)Skrypnik's degree theory for demicontinuous mappings of type \((S)_+\)

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for higher-order parabolic equations (35K35) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (1)

The index of a critical point for densely defined operators of type (𝑆₊)_{𝐿} in Banach spaces

Cites Work

• Quasilinear parabolic systems under nonlinear boundary conditions
• A nonlinear problem with an oblique derivative for parabolic equations
• Maximal space regularity in nonhoomogeneous initial boundary value parabolic problem
• On a Class of Fully Nonlinear Parabolic Equations
• On the regularity theory of fully nonlinear parabolic equations: II
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