Strichartz Inequalities for Lipschitz Metrics on Manifolds and Nonlinear Schrodinger Equation on Domains

Details Strichartz Inequalities for Lipschitz Metrics on Manifolds and Nonlinear Schrodinger Equation on Domains Strichartz Inequalities for Lipschitz Metrics on Manifolds and Nonlinear Schrodinger Equation on Domains

2005-12-29

arxiv.org/abs/math/0512639v1

Mathematics

Analysis of PDEs

32 pages

Scientific paper

We prove wellposedness of the Cauchy problem for the nonlinear Schrodinger
equation for any defocusing power nonlinearity on a domain of the plane with
Dirichlet boundary conditions. The main argument is based on a generalized
Strichartz inequality on manifolds with Lipschitz metric.

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