The semilinear wave equation on the (outer) Schwarzschild manifold is studied. We prove local decay estimates for general (non-radial) data, deriving a-priori Morawetz type estimates
In this brief note, we consider a wave equation that has both trapping and a complex potential. For ...
The thesis consists of two parts, a theoretical part and an applied part, and in addition an Appendi...
Abstract. We consider solutions to the linear wave equation on non-compact Riemannian manifolds with...
We consider solutions to the linear wave equation on higher dimensional Schwarzschild black hole spa...
Abstract. We describe an expansion of the solution of the wave equation on the De Sitter– Schwarzsch...
We describe an expansion of the solution of the wave equation in the De Sitter - Schwarzschild metri...
AbstractIn this note, we prove the global well posedness and the local energy decay for semilinear w...
AbstractA uniform local energy decay result is derived to the linear wave equation with spatial vari...
The purpose of the present paper is to establish the local energy decay estimates and dispersive est...
AbstractIn the first part of this paper, we prove the decay of local energy for the solutions of the...
Morawetz estimates capture the long time local decay properties for various linear and nonlinear dis...
We study the wave equation on the real line with a potential that falls off like vertical bar x vert...
We prove sharp pointwise $t^{-3}$ decay for scalar linear perturbations of a Schwarzschild black hol...
AbstractIn this paper, we prove the exponential decay of local energy for the critical wave equation...
Abstract: In a bounded domain, we consider the wave equation with a local dissipa-tion. We prove the...
In this brief note, we consider a wave equation that has both trapping and a complex potential. For ...
The thesis consists of two parts, a theoretical part and an applied part, and in addition an Appendi...
Abstract. We consider solutions to the linear wave equation on non-compact Riemannian manifolds with...
We consider solutions to the linear wave equation on higher dimensional Schwarzschild black hole spa...
Abstract. We describe an expansion of the solution of the wave equation on the De Sitter– Schwarzsch...
We describe an expansion of the solution of the wave equation in the De Sitter - Schwarzschild metri...
AbstractIn this note, we prove the global well posedness and the local energy decay for semilinear w...
AbstractA uniform local energy decay result is derived to the linear wave equation with spatial vari...
The purpose of the present paper is to establish the local energy decay estimates and dispersive est...
AbstractIn the first part of this paper, we prove the decay of local energy for the solutions of the...
Morawetz estimates capture the long time local decay properties for various linear and nonlinear dis...
We study the wave equation on the real line with a potential that falls off like vertical bar x vert...
We prove sharp pointwise $t^{-3}$ decay for scalar linear perturbations of a Schwarzschild black hol...
AbstractIn this paper, we prove the exponential decay of local energy for the critical wave equation...
Abstract: In a bounded domain, we consider the wave equation with a local dissipa-tion. We prove the...
In this brief note, we consider a wave equation that has both trapping and a complex potential. For ...
The thesis consists of two parts, a theoretical part and an applied part, and in addition an Appendi...
Abstract. We consider solutions to the linear wave equation on non-compact Riemannian manifolds with...