Strichartz inequalities with weights in Morrey-Campanato classes
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Autores: Juan Antonio Barceló Varcárcel
, Jonathan M. Bennett, Anthony Carbery , María de la Cruz Vilela Bendaña
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 61, Fasc. 1, 2010, págs. 49-56
- Idioma: inglés
- DOI: 10.1007/bf03191225
- Enlaces
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Resumen
We prove some weighted refinements of the classical Strichartz inequalities for initial data in the Sobolev spaces $H^s (R^n)$. We control the weighted $L^2$ �norm of the solution of the free Schrödinger equation when 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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