Extinction and nonextinction for the fast diffusion equation

DOI10.1155/2013/747613zbMath1275.35029OpenAlexW1972313762WikidataQ58917332 ScholiaQ58917332MaRDI QIDQ370180

Yi-bin Xiao, Li Yan, Chun-Lai Mu

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/747613

zbMATH Keywords

homogeneous Dirichlet boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)

Related Items (6)

Extinction for the super diffusion equation with a nonlocal absorption and a gradient source ⋮ On the extinction problem for a \(p\)-Laplacian equation with a nonlinear gradient source ⋮ Critical extinction exponent for a doubly degenerate non-divergent parabolic equation with a gradient source ⋮ Extinction and decay estimates of solutions for a \(p\)-Laplacian evolution equation with nonlinear gradient source and absorption ⋮ Critical extinction exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption ⋮ Critical extinction exponent for a quasilinear parabolic equation with a gradient source

Cites Work

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• Extinction and decay estimates for viscous Hamilton-Jacobi equations in ℝ^{ℕ}
• A note on extinction for fast diffusivep‐Laplacian with sources
• The propagation of disturbances in problems of non-linear heat conduction with absorption
• Finite extinction time for nonlinear parabolic equations with nonlinear mixed boundary data
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions
• Critical extinction and blow‐up exponents for fast diffusive p‐Laplacian with sources

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