Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class

DOI10.1016/j.matpur.2008.09.005zbMath1173.35042arXiv0804.2547OpenAlexW2077984629MaRDI QIDQ1006621

Ryuichiro Mizuhara

Publication date: 25 March 2009

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2547

zbMATH Keywords

Gevrey wave front setmicrolocal smoothing effect

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Schrödinger operator, Schrödinger equation (35J10) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items

Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians, On Gevrey singularities of microhyperbolic operators, Reconstruction of singularities for solutions of Schrödinger equations, Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions, On the characterizations of wave front sets in terms of the short-time Fourier transform, Wave-front sets related to quasi-analytic Gevrey sequences, Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials, Kato Smoothing Effect for Schrödinger Operator, Schrödinger-type equations in Gelfand-Shilov spaces, Wave packet analysis of Schrödinger equations in analytic function spaces

Cites Work

• Unnamed Item
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• Analytic wave front set for solutions to Schrödinger equations
• The Schrödinger propagator for scattering metrics
• The hyperbolic Cauchy problem
• Microlocal smoothing effect for Schrödinger equations in Gevrey spaces
• Smoothing effects for Schrödinger evolution equation and global behavior of geodesic flow
• Propagation of the homogeneous wave front set for Schrödinger equations
• Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
• Propagation of singularities and growth for Schrödinger operators
• Microlocal analytic smoothing effect for the Schrödinger equation
• Remark on the analytic smoothing for the Schrodinger equation
• Phase space tunneling for operators with symbols in a Gevrey class
• Propagation of Singularities for Schrödinger Equations on the Euclidean Space with a Scattering Metric
• Singularities of solutions to the Schrödinger equation on scattering manifold
• Effect régularisant microlocal analytique pour l'équation de Schrödinger le cas des données oscillantes
• Microlocal dispersive smoothing for the Schrödinger equation
• Analytic smoothing effect for the Schrödinger equation with long‐range perturbation
• An introduction to semiclassical and microlocal analysis