Summability and existence results for nonlinear parabolic equations

DOI10.1016/j.na.2008.11.066zbMath1171.35400OpenAlexW1974270477MaRDI QIDQ1026054

Maria Michaela Porzio, Boccardo, Lucio, A. R. M. Primo

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.066

zbMATH Keywords

Cauchy-Dirichlet problemsRegularityNonlinear parabolic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05)

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Cites Work

• Degenerate parabolic equations
• Gradient estimates for a class of parabolic systems
• Nonlinear elliptic and parabolic equations involving measure data
• Nonlinear parabolic equations with measure data
• Existence of solutions for some ``noncoercive parabolic equations
• Existence and regularity results for solutions to nonlinear parabolic equations
• Local behavior of solutions of quasilinear parabolic equations
• Ulteriori contributi alla regolarizzazione delle soluzioni deboli dei problemi parabolici
• Nonlinear parabolic equations with natural growth conditions and L1 data
• On the Green's function for second order parabolic differential equations with discontinuous coefficients
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