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Classical solutions of nonlinear Schrödinger equations in higher dimensions

✍ Scribed by Masayoshi Tsutsumi; Nakao Hayashi


Publisher
Springer-Verlag
Year
1981
Tongue
French
Weight
647 KB
Volume
177
Category
Article
ISSN
0025-5874

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The Matrix Nonlinear Schrödinger Equatio
✍ Liu Zuhan; Michael Pedersen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 92 KB

In this paper we study the existence of global solutions to the Cauchy problem Ž . for the matrix nonlinear Schrodinger equation MNLS in 2 space dimensions. A sharp condition for the global existence is obtained for this equation. This condition is in terms of an exact stationary solution of a semil