On global existence and bounds for the blow-up time in a semilinear heat equation involving parametric variable sources

Abstract

This paper is concerned with the blow-up of the solutions to a semilinear heat equation with a reaction given by parametric variable sources. Some conditions to parameters and exponents of sources are given to obtain lower–upper bounds for the time of blow-up and some global existence results.

Keywords

• Parametric variable sources
• Global existence
• Heat equation
• Semilinear parabolic problem
• Lower bound
• Upper bound