Slicing method for nonlinear integral inequalities related to critical nonlinear wave equations

2025/04/27 by Sasaki, Takiko, Shao, Kerun, Takamura, Hiroyuki · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #primary 35L71 #secondary 35B44

paper · doi:10.48550/arxiv.2504.19107

Abstract

This paper is devoted to a simple and short proof on the sharp upper bound of lifespan of classical solutions to wave equations with the critical power nonlinearities of spatial derivatives of the unknown function. Such a proof is so-called "slicing method", which may help us to extend the result for various equations and systems.

Cited by

• A revisit on the critical blow-up for semilinear wave equations in low space dimensions with slicing method

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