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|Type:||Artigo de periódico|
|Title:||On The Schrödinger Equation With Singular Potentials|
|Abstract:||We study the Cauchy problem for the non-linear Schrödinger equation with singular potentials. For the point-mass potential and nonperiodic case, we prove existence and asymptotic stability of global solutions in weak-L p spaces. Specific interest is given to the point-like δ and δ′ impurity and to two δ-interactions in one dimension. We also consider the periodic case, which is analyzed in a functional space based on Fourier transform and local-in-time well-posedness is proved.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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