A smoothing property of Schrödinger equations in the critical case

DOI10.1007/s00208-006-0757-4zbMath1109.35096arXivmath/0405548OpenAlexW2071512223MaRDI QIDQ2432023

Mitsuru Sugimoto, Michael Ruzhansky

Publication date: 25 October 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405548

zbMATH Keywords

limiting absorption principleLaplacianHamiltonian flowsmoothing estimates

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Second-order hyperbolic equations (35L10) Fourier integral operators applied to PDEs (35S30) Higher-order hyperbolic equations (35L25)

Related Items (24)

Smoothing estimates for non-dispersive equations ⋮ Smooth Spectral Calculus ⋮ A local-to-global boundedness argument and Fourier integral operators ⋮ Schatten-von Neumann properties for Fourier integral operators with non-smooth symbols. II ⋮ L ^p -bounds for Fourier integral operators on the torus ⋮ On Hartree equations with derivatives ⋮ Resolvent estimates and smoothing for homogeneous partial differential operators on graded Lie groups ⋮ Structural resolvent estimates and derivative nonlinear Schrödinger equations ⋮ Divergence-type Operators: Spectral Theory and Spacetime Estimates ⋮ Global $L^p$ continuity of Fourier integral operators ⋮ On the essential spectrum of electromagnetic Schrödinger operator with singular electric potential ⋮ Time-global smoothing estimates for a class of dispersive equations with constant coefficients ⋮ On the boundedness of Fourier integral operators on \(L^p(\mathbb R^n)\) ⋮ On Local and Global Regularity of Fourier Integral Operators ⋮ EIGENFUNCTION EXPANSIONS AND SPACETIME ESTIMATES FOR GENERATORS IN DIVERGENCE-FORM ⋮ Periodic Fourier integral operators in \(L^p\)-spaces ⋮ Resolvent estimates on symmetric spaces of noncompact type ⋮ Weighted Sobolev L2 estimates for a class of Fourier integral operators ⋮ Changes of variables in modulation and Wiener amalgam spaces ⋮ Trace theorems: critical cases and best constants ⋮ Schatten--von Neumann properties for Fourier integral operators with non-smooth symbols. I ⋮ Kato Smoothing Effect for Schrödinger Operator ⋮ Optimal forward and reverse estimates of Morawetz and Kato-Yajima type with angular smoothing index ⋮ On global inversion of homogeneous maps

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