Strichartz Estimates in Spherical Coordinates

Abstract

In this paper we study Strichartz estimates for dispersive equations which are defined by radially symmetric pseudo-differential operators, and of which initial data belongs to spaces of Sobolev type defined in spherical coordinates. We obtain the space time estimates on the best possible range including the endpoint cases.

29 pages, references and typos corrected, to appear in Indiana University Mathematics Journal

References in corpus (3)

• Fractional Quantum Mechanics
• Generalized and weighted Strichartz estimates
• Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equation

Cited by in corpus (7)

• On the energy-critical fractional Schödinger equation in the radial case
• On the Cauchy problem of fractional Schrödinger equation with Hartree type nonlinearity
• Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry
• On the orbital stability of fractional Schrödinger equations
• Sharp spherically averaged Strichartz estimates for the Schrödinger equation
• Profile decompositions of fractional Schrödinger equations with angularly regular data
• A Sobolev estimate for the adjoint restriction operator