Global infinite energy solutions for the cubic wave equation

On the uniform decay of the local energy for trapping obstacles, the author considered in [II] an example of trapping obstacles Q which consists of two disjoint strictly convex

Cette equation a souvent ete une source de contre-exemples importants en théorie des equations aux derivees

By investigating the steady state of the cubic nonlinear Schrödinger equation, it is demonstrated in [16] that, by employing the Gevrey class G σ (W ), one can obtain a more

By adapting the method used in [14] along with the use of new nonlocal inequalities obtained in [13], Li and Rodrigo [26] proved that blow-up of smooth solutions also holds in

It is shown that plane wave solutions to the cubic nonlinear Schr¨ odinger equa- tion on a torus behave orbitally stable under generic perturbations of the initial data that are

Tzvetkov, Random data Cauchy theory for supercritical wave equations II: A global existence result, Invent. Tao, Ill-posedness for nonlinear Schr¨ odinger and wave

Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schr¨ odinger equation in the radial case.. Kenig and

Observing that the linearized system is controllable in infi- nite time at almost any point, we conclude the controllability of the nonlinear system (in the case d = 1), using