ON THE SCHRODINGER EQUATION WITH SINGULAR POTENTIALS

Autor(es)

Pava, Jaime Angulo ^[1] ; Ferreira, Lucas C. F. ^[2]

Afiliação do(s) autor(es)

^[1] IME USP, BR-05508090 Sao Paulo - Brazil

^[2] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 27, n. 7-8, p. 767-800, JUL-AUG 2014.
• Citações Web of Science: 2

Resumo

We study the Cauchy problem for the non-linear Schrodinger 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 delta and delta ` impurity and to two delta-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. (AU)

• Processo FAPESP: 12/50521-4 - Equações dispersivas não-lineares: estabilidade (instabilidade) não-linear para ondas viajantes de tipo periódico
• Beneficiário: Jaime Angulo Pava
• Modalidade de apoio: Auxílio à Pesquisa - Regular