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Resumen de Strichartz inequalities with weights in Morrey-Campanato classes

Juan Antonio Barceló Varcárcel Árbol académico, Jonathan M. Bennett, Anthony Carbery Árbol académico, María de la Cruz Vilela Bendaña Árbol académico

  • We prove some weighted refinements of the classical Strichartz inequalities for initial data in the Sobolev spaces Ḣ^s(ℝ^n). We control the weightedL^2-norm of the solution of the free Schrödinger equation whenever the weight is in a Morrey-Campanato type space adapted to that equation. Our partial positive results are complemented by some necessary conditions based on estimates for certain particular solutions of the free Schrödinger equation.

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