Blow-up sets for a complex valued semilinear heat equation

2014/12/09 by Junichi Harada, Harada, Junichi
Engineering · Mathematics · #Stability and Controllability of Differential Equations #Nonlinear Partial Differential Equations #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1412.2856

Abstract

This paper is concerned with finite blow-up solutions of a one dimensional complex-valued semilinear heat equation. We provide locations and the number of blow-up points from the viewpoint of zeros of the solution.

Related

• Profile for a simultaneously blowing up solution for a complex valued semilinear heat equation
• Profile for the imaginary part of a blowup solution for a complex-valued seminar heat equation
• On Blow-up of a Seimilinear Heat Equation with Nonlinear Boundary Conditions
• Blow up of solutions of semilinear heat equations in general domains
• A blowup solution of a complex semi-linear heat equation with an\n irrational power