Semilinear wave equations of derivative type with spatial weights in one space dimension. (August 2023) - Kitamura, Shunsuke
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.