Blow-Up Estimates for a Nonlinear Hyperbolic Heat Equation

DOI10.1137/0520022zbMath0699.35174OpenAlexW2161110216MaRDI QIDQ3477342

Avner Friedman, Hamid Bellout

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520022

zbMATH Keywords

Cauchy problemblow-up estimateshyperbolic heat equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)

Related Items (11)

Large time behavior and \(L^{p}\)-\(L^{q}\) estimate of solutions of 2-dimensional nonlinear damped wave equations ⋮ Convergence of a blow-up curve for a semilinear wave equation ⋮ Higher-order expansion of solutions for a damped wave equation ⋮ The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media ⋮ Large time behavior of solutions for a nonlinear damped wave equation ⋮ Space-time estimates on damped fractional wave equation ⋮ Decay character and estimates for the damped wave equation ⋮ Nonexistence of solutions for a degenerate parabolic equation describing imperfect ignition ⋮ Non-isothermal, non-Newtonian Hele-Shaw flows within Cattaneo's heat flux law ⋮ Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation ⋮ A regularity result for a quasilinear equation and its consequences for blowing-up solutions of semilinear heat equations

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