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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Inhomogeneous Strichartz estimates for the Schrödinger equation
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by M. C. Vilela PDF
Trans. Amer. Math. Soc. 359 (2007), 2123-2136 Request permission

Abstract:

We study Strichartz estimates for the solution of the Cauchy problem associated with the inhomogeneous free Schrödinger equation in the case when the inital data is equal to zero, proving some new estimates for certain exponents and giving counterexamples for some others.
References
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Additional Information
  • M. C. Vilela
  • Affiliation: Departamento de Matemática Aplicada, Escuela Universitaria de Informática, Campus de Segovia - Universidad de Valladolid, Plaza de Santa Eulalia 9 y 11, 40005 Segovia, Spain
  • Email: maricruz@eis.uva.es
  • Received by editor(s): December 12, 2003
  • Received by editor(s) in revised form: March 1, 2005
  • Published electronically: December 15, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 2123-2136
  • MSC (2000): Primary 35J10, 46B70
  • DOI: https://doi.org/10.1090/S0002-9947-06-04099-2
  • MathSciNet review: 2276614