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Strichartz estimates for the Schrödinger and heat equations perturbed with singular and time dependent potentials

Article type: Research Article

Authors: Pierfelice, Vittoria

Affiliations: Università di Pisa, Dipartimento di Matematica, Via Buonarroti 2, I-56127 Pisa, Italy E-mail: [email protected]

Abstract: We prove Strichartz estimates for the Schrödinger equation perturbed with a small time dependent potential V(t,x) belonging to the weak Lebesgue space L∞tL(n/2,∞)x. We also consider the heat equation perturbed with a time independent singular potential V(x)∈L(n/2,∞) and we prove both the maximum principle and the Strichartz estimates under a suitable smallness condition on the negative part of the potential.

Journal: Asymptotic Analysis, vol. 47, no. 1-2, pp. 1-18, 2006

Published: 2006
Price: EUR 27.50
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