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Inhomogeneous Strichartz estimates

Inhomogeneous Strichartz estimates 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Inhomogeneous Strichartz estimates

Taggart, Robert J.
Forum Mathematicum , Volume 22 (5) – Sep 1, 2010
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Publisher
de Gruyter
Copyright
© de Gruyter 2010
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORUM.2010.044
Publisher site
See Article on Publisher Site

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.

Journal

Forum Mathematicum – de Gruyter

Published: Sep 1, 2010

References

  • Anal Ozawa : The Cauchy problem for nonlinear Klein Gordon equations in the Sobolev spaces Publ : Convolution estimates for some distributions with singularities on the light cone
    Nakamura
  • Math Soc electronic : Existence of solutions for Schro dinger evolution equations Comm Math : Dispersive estimates for Schro dinger equations with threshold resonance and eigenvalue
    Yajima