Effect of a Gradient Term on the Solvability of the Heat Equation with a Supercritical Reaction with Respect to the Hardy Potential

DOI10.1515/ans-2014-0302zbMath1304.35684OpenAlexW2517922812MaRDI QIDQ2923152

Susana Merchán, Boumediene Abdellaoui, Ireneo Peral Alonso, Ahmed Attar

Publication date: 15 October 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2014-0302

zbMATH Keywords

asymptotic behaviorentropy solutionnatural growthnonlinear parabolic problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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Cites Work

• Optimal results for parabolic problems arising in some physical models with critical growth in the gradient respect to a Hardy potential
• Summability and existence results for nonlinear parabolic equations
• Local behavior of solutions of quasilinear parabolic equations
• The Heat Equation with a Singular Potential
• Weak Solutions of Some Quasilinear Elliptic Equations with Data Measures

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