Regularity, decay, and best constants for dispersive equations

DOI10.1006/jfan.2001.3863zbMath1017.35093OpenAlexW2055843589MaRDI QIDQ1614757

Björn G. Walther

Publication date: 8 September 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3863

zbMATH Keywords

Schrödinger equationoscillatory integralsdispersive equationsStrichartz type inequalityglobal smoothing and decay

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40)

Related Items (16)

Optimal constants and extremisers for some smoothing estimates ⋮ Smoothing estimates for non-dispersive equations ⋮ Optimal constants of smoothing estimates for the 2D Dirac equation ⋮ Stability of trace theorems on the sphere ⋮ Dimension of divergence sets for dispersive equation ⋮ Global range estimates for maximal oscillatory integrals with radial test functions ⋮ Applications of the Funk-Hecke theorem to smoothing and trace estimates ⋮ Sharp Morawetz estimates ⋮ Smoothing and Strichartz estimates for degenerate Schrödinger-type equations ⋮ Hardy type inequalities with spherical derivatives ⋮ Explicit uniform bounds on integrals of Bessel functions and trace theorems for Fourier transforms ⋮ Spectral identities and smoothing estimates for evolution operators ⋮ Resolvent estimates on symmetric spaces of noncompact type ⋮ Global L ²-Boundedness Theorems for a Class of Fourier Integral Operators ⋮ 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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• SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT

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