Global Strichartz estimates for the Schrödinger equation with non zero boundary conditions and applications

Author:

Audiard Corentin

Publisher

Cellule MathDoc/CEDRAM

Subject

Geometry and Topology,Algebra and Number Theory

Reference32 articles.

1. [1] Antoine, Xavier; Besse, Christophe; Klein, Pauline Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. Part I: Construction and a priori estimates, Math. Models Methods Appl. Sci., Volume 22 (2012) no. 10, 1250026, 38 pages (Art. ID 1250026, 38 p.)

2. [2] Anton, Ramona Strichartz inequalities for Lipschitz metrics on manifolds and nonlinear Schrödinger equation on domains, Bull. Soc. Math. Fr., Volume 136 (2008) no. 1, pp. 27-65

3. [3] Audiard, Corentin Non-homogeneous boundary value problems for linear dispersive equations, Commun. Partial Differ. Equations, Volume 37 (2012) no. 1-3, pp. 1-37

4. [4] Audiard, Corentin On the boundary value problem for the Schrödinger equation: compatibility conditions and global existence, Anal. PDE, Volume 8 (2015) no. 5, pp. 1113-1143

5. [5] Benzoni-Gavage, Sylvie; Serre, Denis Multi-dimensional hyperbolic partial differential equations. First-order systems and applications, Oxford University Press, Oxford Mathematical Monographs (2007), xxvi+508 pages

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