| Title | Blow-up solutions for the Schrödinger equation in dimension three with a concentrated nonlinearity |
| Publication Type | Journal Article |
| Year of Publication | 2004 |
| Authors | Adami, R, Dell'Antonio, G, Figari, R, Teta, A |
| Journal | Ann. Inst. H. Poincare Anal. Non Lineaire 21 (2004) 121-137 |
| Abstract | We present some results on the blow-up phenomenon for the Schroedinger equation in dimension three with a nonlinear term supported in a fixed point. We find sufficient conditions for the blow up exploiting the moment of inertia of the solution and the uncertainty principle. In the critical case, we discuss the additional symmetry of the equation and construct a family of explicit blow up solutions. |
| URL | http://hdl.handle.net/1963/2998 |
| DOI | 10.1016/j.anihpc.2003.01.002 |
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