LOCALIZATION OF SOLUTIONS TO A DOUBLY DEGENERATE PARABOLIC EQUATION WITH A STRONGLY NONLINEAR SOURCE
From MaRDI portal
Publication:2905289
DOI10.1142/S0219199712500186zbMath1252.35167OpenAlexW2037109104MaRDI QIDQ2905289
Dengming Liu, Pan Zheng, Chun-Lai Mu
Publication date: 27 August 2012
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199712500186
Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)
Related Items (4)
Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source ⋮ Cauchy problem for the non-Newtonian polytropic filtration equation with a localized reaction ⋮ A complete upper estimate on the localization for the degenerate parabolic equation with nonlinear source ⋮ Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms
Cites Work
- Unnamed Item
- Cauchy problem of some doubly degenerate parabolic equations with initial datum a measure
- The blow-up phenomenon for degenerate parabolic equations with variable coefficients and nonlinear source
- On the Cauchy problem for a doubly nonlinear degenerate parabolic equation with strongly nonlinear sources
- Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values
- \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
- On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
- The role of critical exponents in blow-up theorems: The sequel
- Localization for the evolution \(p\)-Laplacian equation with strongly nonlinear source term
- Support properties of solutions to a degenerate equation with absorption and variable density
- Positivity versus localization in degenerate diffusion equations
- A non-linear elliptic problem with a complex spectrum of solutions
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- Localization for a porous medium type equation in high dimensions
- The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations
This page was built for publication: LOCALIZATION OF SOLUTIONS TO A DOUBLY DEGENERATE PARABOLIC EQUATION WITH A STRONGLY NONLINEAR SOURCE