Special Session 131: Recent progress on singularities formations of some evolution partial differential equations
Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime
Yuta Wakasugi
Hiroshima University Japan
Co-Author(s): Kimitoshi Tsutaya
Abstract:
Consider semilinear wave equations in the spatially flat Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetimes. We show some blow-up results obtained in recent years, including decelerating and accelerating expansion cases and power-type and derivative-type nonlinearities. Our approach is based on a generalized Kato`s lemma on ordinary differential inequalities and the test function method.