We verify the critical case p= p 0 (n) of Strauss' conjecture [30] concerning the blow-up of
solutions to semilinear wave equations with variable coefficients in R n, where n≥ 2. The …

We examine solutions to semilinear wave equations on black hole backgrounds and give a
proof of an analog of the Strauss conjecture on the Schwarzschild and Kerr, with small …

In this paper we study the initial boundary value problem for two-dimensional semilinear
wave equations with small data, in asymptotically Euclidean exterior domains. We prove that …

By assuming a certain localized energy estimate, we prove the existence portion of the
Strauss conjecture on asymptotically flat manifolds, possibly exterior to a compact domain …

We study the global existence of solutions to semilinear wave equations with power-type
nonlinearity and general lower order terms on $ n $ dimensional nontrapping asymptotically …

We study the long-time existence of solutions to nonlinear wave equations with power-type
nonlinearity (of order p) and small data, on a large class of (1+ n)-dimensional nonstationary …

This paper focuses on the initial boundary value problem of semi-linear wave equation in
exterior domain in two space dimensions with critical power. Based on the contradiction …

Recent works on the Strauss conjecture Page 246 Contemporary Mathematics Volume 581 ,
2012 http://dx. doi. org/10.1090/conm/581/11497 Recent works on the Strauss conjecture …

We prove the global existence of the small solutions to the Cauchy problem for quasilinear
wave equations satisfying the null condition on (R 3, g), where the metric g is a small …

In this paper we study the initial boundary value problem of critical semilinear wave equation
with small initial data in 3-D. Blow up result will be established no matter how small the data …