A Singular Critical Potential For The Schrödinger operator

نویسنده

  • THOMAS DUYCKAERTS
چکیده

We construct a potential V on R, smooth away from one pole, and a sequence of quasimodes for the operator −∆+V , which concentrate on this pole. No smoothing effect, Strichartz estimates nor dispersive inequalities hold for the corresponding Schrödinger equation.

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تاریخ انتشار 2003