- 99-86 Adami R., Teta A.
- A Simple Model of Concentrated Nonlinearity.
(18K, LATeX 2e)
Mar 29, 99
(auto. generated ps),
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Abstract. We study the nonlinear Schroedinger equation in dimension one
with a nonlinearity concentrated in a point. We give results on local
and global existence of the solution and find conditions for the blow-up.
In the critical case an explicit blow-up solution is constructed.