On the boundary value problem for the Schrödinger equation: compatibility conditions and global existence

This section is divided in two paragraphs. In the first one, we prove that the boundary value problem with zero initial data is well posed. This is merely a consequence of

Finally, in Section 4, we show that once a solution to the reduced system has been obtained, our framework allows for the recovery of the Einstein vacuum equations, both for

— We consider the Schrödinger equation on a half space in any dimension with a class of nonhomogeneous boundary conditions including Dirichlet, Neuman and the so-called

In the case of bounded domains, we improve her results in several directions : generality and regularity of the equation and boundary condition, possibility of obtaining results

Associated to any solution of the super-Liouville system is a holomorphic quadratic differential T (z), and when our boundary condition is satisfied, T becomes real on the boundary..

Key words: Nonlinear oblique derivative condition, heat equation, self-similar

BEIRÃO DA VEIGA, Perturbation Theorems for Linear Hyperbolic Mixed Prob- lems and Applications to the Compressible Euler Equations, Comm. BEIRÃO DA VEIGA,

We point out that this paper makes a sequel of the papers [1], [9] and [10], where investigations were made for smooth and nonsmooth optimal Lipschitz control for problems governed