Inhomogeneous Strichartz estimates

Robert Taggart

Type: Article

Publication Date: 2010-01-01

Citations: 29

DOI: https://doi.org/10.1515/forum.2010.044

Abstract

We present abstract inhomogeneous Strichartz estimates for dispersive operators, extending previous work by M. Keel and T. Tao on the one hand, and generalising results of D. Foschi, M. Vilela, M. Nakamura and T. Ozawa on the other hand. It is shown that these abstract estimates imply new inhomogeneous Strichartz estimates for the wave equation and some Schrödinger equations involving potentials.

Locations

arXiv (Cornell University) - View - PDF
Forum Mathematicum - View

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+	Spectral properties of Schrödinger operators and time-decay of the wave functions	1979	Arne Jensen Tosio Kato
+	Convolution estimates for some distributions with singularities on the light cone	1989	Daniel M. Oberlin
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz
+	Existence of solutions for Schr�dinger evolution equations	1987	Kenji Yajima
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+	On Existence and Scattering with Minimal Regularity for Semilinear Wave Equations	1995	Hans Lindblad Christopher D. Sogge
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+ PDF Chat	The Cauchy Problem for Nonlinear Klein–Gordon Equations in the Sobolev Spaces	2001	Makoto Nakamura Tohru Ozawa