The global existence and nonuniqueness of a nonlinear degenerate equation

DOI10.1016/S0362-546X(96)00298-2zbMath0907.35073MaRDI QIDQ4208380

Yuan-wei Qi

Publication date: 15 February 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

self-similar solutionsradial solutionsdegenerate diffusion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)

Related Items (8)

Second critical exponent for evolution \(p\)-Laplacian equation with weighted source ⋮ Fujita type results for a quasilinear parabolic inequality of Hardy-Hénon type with time forcing terms ⋮ Critical Fujita exponent for the porous medium equation in \(\mathbb{R}^N\) with hole ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Secondary critical exponent, large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values ⋮ Critical exponents of quasilinear parabolic equations ⋮ Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values

Cites Work

• Unnamed Item
• On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\)
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Critical exponents of degenerate parabolic equations
• On the equation u_t = ∆u^α + u^β
• Blow-up for quasilinear heat equations with critical Fujita's exponents

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