On Blowup in Nonlinear Heat Equations

2011/11/30 by Egli, D., Gang, Z., Kong, W. +1
#35B44 #35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1111.7208

Abstract

We establish the asymptotics of blowup for nonlinear heat equations with superlinear power nonlinearities in arbitrary dimensions and we estimate the remainders.

Related

• Blow-up in Nonlinear Heat Equations
• Asymptotic blow-up behavior for the semilinear heat equation with non scale invariant nonlinearity
• Blowup versus global in time existence of solutions for nonlinear heat\n equations
• Blow-up behavior of solutions to the heat equation with nonlinear boundary conditions
• Asymptotic Blow-up Behavior for the Semilinear Heat Equation with Super-exponential Nonlinearities