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Concentration on curves for nonlinear Schrödinger Equations

✍ Scribed by Manuel Del Pino; Michal Kowalczyk; Jun-Cheng Wei


Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
249 KB
Volume
60
Category
Article
ISSN
0010-3640

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On blowup for the pseudo-conformally inv
✍ Hayato Nawa; Masayoshi Tsutsumi 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 96 KB 👁 1 views

We study the δ-measure-like blowup of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation For N = 1 or N ≥ 2 and u0 radially symmetric, we prove that if the blowup solution u(t) satisfies |u(t, x)| 2 dx u0 2 δ0(dx) in the sense of measures as t ↑ Tm (i.e., weakly \* in B ,