Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range II. Higher-order diffusion

TL;DR

This paper investigates two families of sign-changing solutions for higher-order semilinear heat equations within the subcritical Fujita range, focusing on their classification and properties.

Contribution

It introduces a classification framework for sign-changing solutions of higher-order semilinear heat equations in the subcritical Fujita range.

Findings

Identification of two distinct families of solutions

Characterization of blow-up and global behaviors

Extension of known results to higher-order diffusion

Abstract

Two families of sign-changing solutions of higher-order semilinear parabolic equations are studied.