The trace triple for nonnegative solutions of the porous medium equation

DOI10.1007/s00526-018-1475-yzbMath1406.35267OpenAlexW2908471294WikidataQ115387198 ScholiaQ115387198MaRDI QIDQ1755635

Ying-Chuen Kwong, Kai-Seng Chou

Publication date: 10 January 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-018-1475-y

zbMATH Keywords

porous mediumRadon measurenon-negative weak solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05) Asymptotic stability in control theory (93D20) Weak solutions to PDEs (35D30) Index theory for dynamical systems, Morse-Conley indices (37B30) PDEs with measure (35R06)

Related Items (1)

The Effect of Diffusions and Sources on Semilinear Elliptic Problems

Cites Work

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• Non-negative solutions of generalized porous medium equations
• Continuity of weak solutions to certain singular parabolic equations
• The Initial Trace of a Solution of the Porous Medium Equation
• Nonnegative Solutions of the Initial-Dirichlet Problem for Generalized Porous Medium Equations in Cylinders
• Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure
• Continuity of solutions of a singular parabolic equation
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
• Positive Temperatures on an Infinite Rod
• Potential theory

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