Extinction and non-extinction for a \(p\)-Laplacian equation with nonlinear source
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Publication:949667
DOI10.1016/j.na.2007.08.021zbMath1152.35046OpenAlexW2017885798MaRDI QIDQ949667
Publication date: 21 October 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.08.021
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65)
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Cites Work
- The asymptotic behaviour of solutions of a quasilinear degenerate parabolic equation
- Degenerate parabolic equations
- Extinction properties of semilinear heat equations with strong absorption
- Approaching an extinction point in one-dimensional semilinear heat equations with strong absorption
- Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Extinction and positivity for the evolution \(p\)-Laplacian equation in \(\mathbb{R}^n\)
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
- Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
- The propagation of disturbances in problems of non-linear heat conduction with absorption
- Finite extinction time for solutions of nonlinear parabolic equations
- Principal eigenvalue of the p-laplacian in RN
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
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