Dispersive Estimates with Geometry of Finite Type

DOI10.1080/03605302.2011.641053zbMath1248.35033OpenAlexW1991548055MaRDI QIDQ5389584

Chen, Wengu, Chang Xing Miao, Xiao Hua Yao

Publication date: 21 April 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2011.641053

zbMATH Keywords

pointwise estimatesdispersive equationconvex hypersurfaceSchwartz distribution spaceLittlewood-Paley methods

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (8)

Decay estimates for bi-Schrödinger operators in dimension one ⋮ Scattering below ground state of focusing fractional nonlinear Schrödinger equation with radial data ⋮ Decay estimates and Strichartz estimates of fourth-order Schrödinger operator ⋮ Estimate for generalized unimodular multipliers on modulation spaces ⋮ Global well-posedness and scattering for the nonstandard defocusing beam equation ⋮ Estimates for a class of oscillatory integrals and decay rates for wave-type equations ⋮ Kato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials ⋮ A restriction estimate for a certain surface of finite type in \(\mathbb{R}^3\)

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