Tomonari Watanabe

collaborators

2 papers

math.AP2014

Global existence and decay estimates for the nonlinear wave equations with space-time dependent dissipative term

Tomonari Watanabe

We study the global existence and decay estimates for nonlinear wave equations with the space-time dependent dissipative term in an exterior domain. The linear dissipative effect m…

math.AP2013

Global existence and decay estimates for quasilinear wave equations with nonuniform dissipative term

Tomonari Watanabe

We study global existence and decay estimates for quasilinear wave equations with dissipative terms in the Sobolev space $H^{L} \times H^{L - 1}$ , where $L \geq [d /2] + 3$ . The linear di…