%0 Journal Article %J Ann. Inst. H. Poincare Anal. Non Lineaire 21 (2004) 121-137 %D 2004 %T Blow-up solutions for the Schrödinger equation in dimension three with a concentrated nonlinearity %A Riccardo Adami %A Gianfausto Dell'Antonio %A Rodolfo Figari %A Alessandro Teta %X 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. %B Ann. Inst. H. Poincare Anal. Non Lineaire 21 (2004) 121-137 %I Elsevier %G en_US %U http://hdl.handle.net/1963/2998 %1 1335 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-01T10:06:49Z\\nNo. of bitstreams: 1\\nadami.pdf: 209114 bytes, checksum: ea6a7059ff0728c6d55cdc3a16071631 (MD5) %R 10.1016/j.anihpc.2003.01.002