The approximating character on nonlinearities of solutions of Cauchy problem for a singular diffusion equation

zbMath1169.35351MaRDI QIDQ1001961

Jiaqing Pan

Publication date: 20 February 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1227708825

zbMATH Keywords

exponent-to-solution-map

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches

Cites Work

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• Regularity in Sobolev spaces for the fast diffusion and the porous medium equation
• The Cauchy problem for an equation in the theory of infiltration
• Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations
• Existence of solutions of the very fast diffusion equation
• The continuous dependence on nonlinearities of solutions of the Neumann problem of a singular parabolic equation
• A Nonlinear heat equation with singular diffusivity
• The approximating behavior on nonlinearities of solutions of a degenerate parabolic equation
• The linear approach for a nonlinear infiltration equation

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