A smoothing property of Schrödinger equations along the sphere

DOI10.1007/BF02893075zbMath1057.35043MaRDI QIDQ1411291

Mitsuru Sugimoto

Publication date: 27 October 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationLaplace-Beltrami operatorlimiting absorption principlesmoothing of initial data

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) PDEs in connection with quantum mechanics (35Q40) PDEs with randomness, stochastic partial differential equations (35R60)

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Optimal constants and extremisers for some smoothing estimates, Smoothing estimates for non-dispersive equations, Optimal constants of smoothing estimates for the 2D Dirac equation, Sharp Morawetz estimates, On Hartree equations with derivatives, A smoothing property of Schrödinger equations in the critical case, Structural resolvent estimates and derivative nonlinear Schrödinger equations, Time-global smoothing estimates for a class of dispersive equations with constant coefficients, A Strichartz Inequality for the Schrödinger Equation on Nontrapping Asymptotically Conic Manifolds, Trace theorems: critical cases and best constants, Optimal forward and reverse estimates of Morawetz and Kato-Yajima type with angular smoothing index

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