Hölder estimates of solutions to a degenerate diffusion equation

DOI10.1090/S0002-9939-01-06312-2zbMath0984.35035OpenAlexW1599098104MaRDI QIDQ2781291

Yun-Guang Lu

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06312-2

zbMATH Keywords

maximum principledegenerate parabolic equationsHölder solutionsequations of two-phase Stefan type

Mathematics Subject Classification ID

Related Items (1)

A priori gradient bounds for fully nonlinear parabolic equations and applications to porous medium models

Cites Work

• Degenerate parabolic equations
• Classes of solutions of linear systems of partial differential equations of parabolic type
• Continuity of the temperature in the two-phase Stefan problem
• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• Global regularity of solution for general degenerate parabolic equations in 1-D
• Hölder estimates of solutions of biological population equations
• On the singular equation \(\beta (u)_ t=\Delta u\)
• Hölder estimates of solutions to some doubly nonlinear degenerate parabolic equations
• The focusing problem for the radially symmetric porous medium equation
• On solutions to nonlinear reaction-diffusion-convection equations with degenerate diffusion
• Unnamed Item

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