Semilinear wave equations of derivative type with spatial weights in one space dimension

Abstract

This paper is devoted to the initial value problems for semilinear wave equations of derivative type with spatial weights in one space dimension. The lifespan estimates of classical solutions are quite different from those for nonlinearity of unknown function itself as the global-in-time existence can be established by spatial decay.

16 pages. This is the accepted version to Nonlinear Analysis, RWA

References in corpus (1)

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

Cited by in corpus (4)

• The combined effect in one space dimension beyond the general theory for nonlinear wave equations
• Blow-up of classical solutions of quasilinear wave equations in one space dimension
• The lifespan of classical solutions of one dimensional wave equations with semilinear terms of the spatial derivative
• The generalized combined effect for one dimensional wave equations with semilinear terms including product type