The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension

Abstract

This paper studies initial value problems for semilinear wave equations with spatial weights in one space dimension. The lifespan estimates of classical solutions for compactly supported data are established in all the cases of polynomial weights. The results are classified into two cases according to the total integral of the initial speed.

31 pages. We have corrected typos in the first version

Cited by in corpus (4)

• The combined effect in one space dimension beyond the general theory for nonlinear wave equations
• Semilinear wave equations of derivative type with spatial weights in one space dimension
• The generalized combined effect for one dimensional wave equations with semilinear terms including product type
• The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights