A note on the lifespan of solutions to the semilinear damped wave equation
Masahiro Ikeda, Yuta Wakasugi
TL;DR
This paper provides upper lifespan estimates for solutions to the semilinear damped wave equation with variable coefficients across all space dimensions, contributing to understanding the solution longevity in such systems.
Contribution
It offers new upper bounds on the lifespan of solutions to the semilinear damped wave equation with variable coefficients in all space dimensions.
Findings
Upper lifespan estimates derived for solutions
Applicable to equations with variable coefficients
Results hold across all space dimensions
Abstract
This paper concerns estimates of the lifespan of solutions to the semilinear damped wave equation. We give upper estimates of the lifespan for the semilinear damped wave equation with variable coefficients in all space dimensions.
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