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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106427We 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.32 pagesAnalysis of PDEsStrichartz Inequalities for Lipschitz Metrics on Manifolds and Nonlinear Schrodinger Equation on Domainstext