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- W2964047504 abstract "We study local and global well-posedness of the initial valueproblem for the Schrodinger-Debye equation in the periodic case. Moreprecisely, we prove local well-posedness for the periodic Schrodinger-Debyeequation with subcritical nonlinearity in arbitrary dimensions. Moreover, wederive a new a priori estimate for the $H^1$ norm of solutions of theperiodic Schrodinger-Debye equation. A novel phenomenon obtained as aby-product of this a priori estimate is the global well-posedness of theperiodic Schrodinger-Debye equation in dimensions $1$ and $2$ without any smallness hypothesis of the $H^1$ norm of the initial data in thefocusing case." @default.
- W2964047504 created "2019-07-30" @default.
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- W2964047504 date "2005-11-28" @default.
- W2964047504 modified "2023-09-27" @default.
- W2964047504 title "On the periodic Schrödinger-Debye equation" @default.
- W2964047504 hasPublicationYear "2005" @default.
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