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Seminar on Analysis, Differential Equations and Mathematical Physics
29 октября 2020 г. 18:00, г. Ростов-на-Дону, online
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Dispersive Estimates for Schrödinger Equations
R. Weder Instituto de Investigaciones en Matemáticas Aplicadas y Sistemas, Universidad Nacional Autónoma de México
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Количество просмотров: |
Эта страница: | 151 |
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Аннотация:
The importance of the dispersive estimates for Schrödinger equations in spectral theory and in nonlinear analysis will be discussed. Furthermore, the literature on the $L^p-L^{p'}$ estimates will be reviewed, starting with the early results in the 1990 th, and with an emphasis in the results in one dimension. New results will be presented, in $L^p-L^{p'}$ estimates for matrix Schrödinger equations in the half-line, with general selfadjoint boundary condition, and in matrix Schrödinger equations in the full-line with point interactions. In both cases we consider integrable matrix potentials that have a finite first moment.
Язык доклада: английский
Список литературы
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T. Aktosun and R. Weder, Direct and Inverse Scattering for the Matrix Schrödinger Equation, Applied Mathematical Sciences, 203, Springer Verlag New York, 2021 (published in May 2020)
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I. Naumkin, R. Weder, “$L^{p}-L^{p^{\prime}}$ estimates for matrix Schrödinger equations”, Journal of Evolution Equations, 2020, online first
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