A modified test function method for damped waves

Abstract

In this paper we use a modified test function method to derive nonexistence results for the semilinear wave equation with time-dependent speed and damping. The obtained critical exponent is the same exponent of some recent results on global existence of small data solution.

References in corpus (2)

• Small data blow-up of L^{2}-solution for the nonlinear Schrödinger equation without gauge invariance
• Small data global existence for the semilinear wave equation with space-time dependent damping

Cited by in corpus (1)

• A note on the lifespan of solutions to the semilinear damped wave equation