Boundedness of solutions to quasilinear parabolic equations

DOI10.1016/J.JDE.2016.09.004zbMath1351.35071OpenAlexW2519674641MaRDI QIDQ329249

Dian K. Palagachev, Pilsoo Shin, Sun-Sig Byun

Publication date: 21 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.09.004

zbMATH Keywords

weak solutioncoercivityboundednessCauchy-Dirichlet problemMorrey spaceAdams trace inequalityDe Giorgi approachmass estimatequasilinear parabolic operatorsub-controlled controlled growthtime strip

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30)

Related Items (3)

Gradient estimates for the p-Laplacian parabolic equations with a low-order term ⋮ Boundedness of the solutions of a kind of nonlinear parabolic systems ⋮ Optimal regularity estimates for general nonlinear parabolic equations

Cites Work

• Degenerate parabolic equations
• Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations
• The method of intrinsic scaling. A systematic approach to regularity for degenerate and singular PDEs
• Global continuity of solutions to quasilinear equations with Morrey data
• Morrey regularity of solutions to quasilinear elliptic equations over Reifenberg flat domains
• Lloc∞-estimates for degenerate and singular parabolic equations
• Boundedness of the weak solutions to quasilinear elliptic equations with Morrey data
• Pointwise estimates and quasilinear parabolic equations
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