Quenching for a One-Dimensional Fully Nonlinear Parabolic Equation in Detonation Theory

DOI10.1137/S0036139998341928zbMath0982.35008OpenAlexW2021776867MaRDI QIDQ2706078

Juan Luis Vazquez, Stéphane Gerbi, Victor A. Galaktionov

Publication date: 19 March 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139998341928

zbMATH Keywords

asymptotic behaviorHamilton-Jacobi equationsingular perturbations\(\omega\)-limit sets of infinite-dimensional dynamical systemsextension beyond the singularity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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Existence and nonexistence of global classical solutions to porous medium and plasma equations with singular sources

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