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Bilinear Estimates and Applications to 2d Nls
| Content Provider | Semantic Scholar |
|---|---|
| Author | Delort, J. Kenig, Carlos E. Staffilani, Gigliola |
| Copyright Year | 2001 |
| Abstract | The three bilinearities uv, uv, uv for functions u, v : R2×[0, T ] 7−→ C are sharply estimated in function spaces Xs,b associated to the Schrödinger operator i∂t+∆. These bilinear estimates imply local wellposedness results for Schrödinger equations with quadratic nonlinearity. Improved bounds on the growth of spatial Sobolev norms of finite energy global-in-time and blow-up solutions of the cubic nonlinear Schrödinger equation (and certain generalizations) are also obtained. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.toronto.edu/colliand/NLSCourse/CDKS_NLSBilin.pdf |
| Alternate Webpage(s) | http://www.mathaware.org/tran/2001-353-08/S0002-9947-01-02760-X/S0002-9947-01-02760-X.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Bilinear filtering Bilinear transform Cubic function Estimated Generalization (Psychology) Hamiltonian (quantum mechanics) Nonlinear system Schrödinger Solutions |
| Content Type | Text |
| Resource Type | Article |
