02-326 Adami, R., Dell'Antonio, G., Figari, R., Teta, A.

Blow Up Solutions for the Schroedinger Equation with a Concentrated Nonlinearity in Dimension Three (53K, LATeX 2e) Jul 26, 02

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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.

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