Strichartz Estimates for Non-selfadjoint Operators and Applications

DOI10.1081/PDE-120028853zbMath1064.35222OpenAlexW49201362MaRDI QIDQ3157893

David Dos Santos Ferreira

Publication date: 20 January 2005

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

Full work available at URL: https://doi.org/10.1081/pde-120028853

zbMATH Keywords

microlocalizationStrichartz type estimatesreal principal typeparametricsBenner inequality

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Parametrices in context of PDEs (35A17) Fourier integral operators applied to PDEs (35S30) Subelliptic equations (35H20)

Related Items (2)

Book review of: N. Lerner, Carleman inequalities. An introduction and more ⋮ Sharp \(L^p\)-Carleman estimates and unique continuation

Cites Work

• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
• On \(L_2-L_{p'}\) estimates for the wave-equation
• \(L_p\)-\(L_{p'}\)-estimates for Fourier integral operators related to hyperbolic equations
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• A parametrix construction for wave equations with \(C^{1,1}\) coefficients
• Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients
• Uniqueness in Cauchy Problems for Hyperbolic Differential Operators
• Endpoint Strichartz estimates
• TheX^s_θspaces and unique continuation for solutions to the semilinear wave equation

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