Wave packet parametrices for evolutions governed by pdo's with rough symbols

DOI10.1090/S0002-9939-07-09027-2zbMath1137.35091arXivmath/0611252OpenAlexW2044071821MaRDI QIDQ5431669

Jason Metcalfe, Daniel Tataru, Jeremy L. Marzuola

Publication date: 20 December 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611252

zbMATH Keywords

microlocal analysispseudo-differential operators with non-smooth symbols

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items

Convergence in \(L^{p}\) for Feynman path integrals, Global wellposedness in the energy space for the Maxwell-Schrödinger system, \(L^p\) and \(\mathcal{H}_{FIO}^p\) regularity for wave equations with rough coefficients, Low regularity solutions for gravity water waves, Quasilinear Schrödinger equations. I: Small data and quadratic interactions, Off-singularity bounds and Hardy spaces for Fourier integral operators, On the time slicing approximation of Feynman path integrals for non-smooth potentials, Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities, Quasilinear Schrödinger equations. III: Large data and short time., Wave packet analysis of Schrödinger equations in analytic function spaces

Cites Work

• The Cauchy problem for quasi-linear Schrödinger equations
• Some remarks on the Cauchy problem
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• Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III
• Dispersive estimates for principally normal pseudodifferential operators
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