- 01-392 Adami R., Dell'Antonio G., Figari R., Teta A.
- The Cauchy Problem for the Schroedinger Equation in Dimension Three with
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Oct 22, 01
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Abstract. We consider the Schroedinger equation in R^3 with nonlinearity
concentrated in a finite set of points.
We formulate the problem in the space of finite energy V, which is
strictly larger than the standard H^1-space due to the specific
singularity exhibited by the solutions. We prove local existence and, for
a repulsive or weakly attractive nonlinearity, also global existence of