The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights

Abstract

In this paper, we study the lifespan estimates of classical solutions for semilinear wave equations with characteristic weights and compactly supported data in one space dimension. The results include those for weights by time-variable, but exclude those for weights by space-variable in some cases. We have interactions of two characteristic directions.

arXiv comment49 pages, 3 figures. This is the accepted version to Journal of Mathematical Analysis and Applications

References in corpus (3)

• The Threshold between Effective and Noneffective Damping for Semilinear Waves
• The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension
• The combined effect in one space dimension beyond the general theory for nonlinear wave equations

Cited by in corpus (2)

• The generalized combined effect for one dimensional wave equations with semilinear terms including product type
• Slicing method for nonlinear integral inequalities related to critical nonlinear wave equations