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Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials

✍ Scribed by Yong-Geun Oh


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
821 KB
Volume
81
Category
Article
ISSN
0022-0396

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The Cauchy problem for the Schrödinger e
✍ Riccardo Adami; Gianfausto Dell'Antonio; Rodolfo Figari; Alessandro Teta 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 185 KB 👁 1 views

We consider the Schrödinger equation in R 3 with nonlinearity concentrated in a finite set of points. We formulate the problem in the space of finite energy V , which is strictly larger than the standard H 1 -space due to the specific singularity exhibited by the solutions. We prove local existence