Blow-up and existence for fast diffusion equations with general nonlinearities

DOI10.1007/BF02720487zbMath0930.35088OpenAlexW21709283MaRDI QIDQ1806061

Guang-Chang Dong, Chun-Lai Mu

Publication date: 9 February 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02720487

zbMATH Keywords

existencenonlinearparabolicfast diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms

Cites Work

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• The critical exponent of degenerate parabolic systems
• Fujita type results for reaction diffusion equations with general nonlinearities
• Existence and nonexistence of global solutions to fast diffusions with source
• The Cauchy Problem for u t = Δu m When 0 < m < 1
• Evolution of a stable profile for a class of nonlinear diffusion equations with fixed boundaries

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