科研之友
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摘要
The paper deals with standing wave solutions of the dimensionless nonlinear Schrodinger equation where the potential is close to an infinite well potential , i. e. on an exterior domain , , and as in a sense to be made precise. The nonlinearity may be of Gross-Pitaevskii type. A standing wave solution of with vanishes on and satisfies Dirichlet boundary conditions, hence it solves We investigate when a standing wave solution of the infinite well potential gives rise to nearby solutions of the finite well potential with large. Considering as a singular limit of we prove a kind of singular continuation type results.
- 出版日期2014-9
