Blow-up sets for a complex valued semilinear heat equation
Junichi Harada
TL;DR
This paper investigates the finite blow-up solutions of a one-dimensional complex semilinear heat equation, focusing on the locations and number of blow-up points through the zeros of the solution.
Contribution
It offers new insights into the blow-up behavior by analyzing the zeros of solutions, identifying blow-up points and their quantities.
Findings
Locations of blow-up points determined
Number of blow-up points characterized
Zeros of solutions linked to blow-up behavior
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.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Nonlinear Partial Differential Equations · advanced mathematical theories