Strichartz estimates for Schrödinger equations with variable coefficients

DOI10.24033/msmf.414zbMath1097.35002arXivmath/0501319OpenAlexW567081274MaRDI QIDQ5469402

Luc Robbiano, Claude Zuily

Publication date: 18 May 2006

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501319

zbMATH Keywords

FBI transformdispersive estimatesnon-trapping conditionmicrolocal parametrix

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Parametrices in context of PDEs (35A17) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items

Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise ⋮ Scattering in the energy space for the NLS with variable coefficients ⋮ Strichartz estimates for Schrödinger equations with variable coefficients and potentials at most linear at spatial infinity ⋮ Time decay of scaling critical electromagnetic Schrödinger flows ⋮ Global existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domains ⋮ On global Strichartz estimates for non-trapping metrics ⋮ Smoothing and Strichartz estimates for degenerate Schrödinger-type equations ⋮ Global parametrices and dispersive estimates for variable coefficient wave equations ⋮ Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations ⋮ Strichartz estimates for Schrödinger equations with non-degenerate coefficients ⋮ Strichartz Estimates for Schrödinger Equations on Scattering Manifolds ⋮ Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials. II: Superquadratic potentials ⋮ Dispersion and Strichartz estimates for the Liouville equation ⋮ Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations ⋮ Endpoint Strichartz estimates for the magnetic Schrödinger equation ⋮ Spectral identities and smoothing estimates for evolution operators ⋮ Wellposedness of some quasi-linear Schrödinger equations ⋮ Semiclassical singularities propagation property for Schrödinger equations ⋮ Decay for the wave and Schrödinger evolutions on manifolds with conical ends, Part I ⋮ Decay for the wave and Schrödinger evolutions on manifolds with conical ends, Part II ⋮ Strichartz estimates with loss of derivatives under a weak dispersion property for the wave operator ⋮ Time decay of scaling invariant electromagnetic Schrödinger equations on the plane ⋮ Well-posedness and ill-posedness results for the Novikov-Veselov equation

This page was built for publication: Strichartz estimates for Schrödinger equations with variable coefficients