Weighted Sobolev L2 estimates for a class of Fourier integral operators

DOI10.1002/MANA.200910080zbMath1234.35334arXiv0711.2868OpenAlexW2102376409MaRDI QIDQ3092762

Mitsuru Sugimoto, Michael Ruzhansky

Publication date: 11 October 2011

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

Full work available at URL: https://arxiv.org/abs/0711.2868

zbMATH Keywords

Sobolev spacesFourier integral operatorsweighted estimatespseudo-differential operatorssmoothing estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for linear higher-order PDEs (35G10) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Related Items (18)

A local-to-global boundedness argument and Fourier integral operators ⋮ On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays ⋮ \(L^p\)-regularity of rough bi-parameter Fourier integral operators ⋮ Global in time Strichartz estimates for the fractional Schrödinger equations on asymptotically Euclidean manifolds ⋮ Strichartz estimates for the fractional Schrödinger and wave equations on compact manifolds without boundary ⋮ On the boundedness of certain bilinear oscillatory integral operators ⋮ Quantization of pseudo-differential operators on the torus ⋮ \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators ⋮ L ^p -bounds for Fourier integral operators on the torus ⋮ $L^p$ compactness for Calderón type commutators ⋮ A smoothing property of Schrödinger equations in the critical case ⋮ Global $L^p$ continuity of Fourier integral operators ⋮ Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators ⋮ \(L^p\) estimates for bi-parameter and bilinear Fourier integral operators ⋮ On the boundedness of Fourier integral operators on \(L^p(\mathbb R^n)\) ⋮ Periodic Fourier integral operators in \(L^p\)-spaces ⋮ Boltzmann collision operator for the infinite range potential: a limit problem ⋮ Cauchy Problem for Some 2 × 2 Hyperbolic Systems of Pseudo-differential Equations with Nondiagonalisable Principal Part

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