Strichartz estimates for the Schrödinger equation with radial data

DOI10.1090/S0002-9939-00-05722-1zbMath1009.35016MaRDI QIDQ2701634

Atanas G. Stefanov

Publication date: 19 February 2001

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

zbMATH Keywords

Schrödinger equationStrichartz estimates

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Schrödinger operator, Schrödinger equation (35J10) Fourier integral operators applied to PDEs (35S30)

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Cites Work

• Unnamed Item
• Scattering theory in the energy space for a class of nonlinear wave equations
• Existence of solutions for Schrödinger evolution equations
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Inequalities for spherically symmetric solutions of the wave equation
• Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
• Endpoint Strichartz estimates
• Space‐time estimates for null forms and the local existence theorem
• Regularity of solutions to the free Schrödinger equation with radial initial data