On the theory of weak turbulence for the nonlinear Schrödinger equation /

We study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger equation. We define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including...

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Online Access: Full text (MCPHS users only)
Main Authors: Escobedo, Miguel, 1957- (Author), Velázquez, J. J. L. (Juan J. L.) (Author)
Format: Electronic eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2015
Series:Memoirs of the American Mathematical Society ; no. 1124.
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Local Note:ProQuest Ebook Central