Localization for a porous medium type equation in high dimensions
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Publication:4813847
DOI10.1090/S0002-9947-04-03613-XzbMath1060.35059OpenAlexW1515139433MaRDI QIDQ4813847
Publication date: 13 August 2004
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03613-x
Nonlinear parabolic equations (35K55) Boundary value problems for higher-order elliptic equations (35J40) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)
Related Items (9)
LOCALIZATION OF SOLUTIONS TO A DOUBLY DEGENERATE PARABOLIC EQUATION WITH A STRONGLY NONLINEAR SOURCE ⋮ Localization for the evolution \(p\)-Laplacian equation with strongly nonlinear source term ⋮ An estimate of the localization for the evolution \(p\)-Laplacian equation ⋮ COMPLETE BLOW-UP AND ESTIMATE ON THE LOCALIZATION FOR A QUASILINEAR PARABOLIC EQUATION WITH NONLINEAR SOURCE ⋮ Localization for a doubly degenerate parabolic equation with strongly nonlinear sources ⋮ Support properties of solutions to a degenerate equation with absorption and variable density ⋮ A complete upper estimate on the localization for the degenerate parabolic equation with nonlinear source ⋮ Series solution for porous medium equation with a source term by Adomian's decomposition method ⋮ A complete estimate on the localization for a porous medium type equation
Cites Work
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- On the Cauchy Problem for Reaction-Diffusion Equations
- On the blow-up set for u_t=du^m+u^m, m>1
- Continuation of blowup solutions of nonlinear heat equations in several space dimensions
- Symmetry of the blow‐up set of a porous medium type equation
- Further study on a nonlinear heat equation
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