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Analysis of the (CR) equation in higher dimensions

This paper is devoted to the analysis of the continuous resonant (CR) equation, in dimensions greater than 2. This equation arises as the large box (or high frequency) limit of the nonlinear Schrodinger equation on the torus, and was derived in a companion paper by the same authors. We initiate the investigation of the structure of (CR), its local well-posedness, and the existence of stationary waves.

preprint2016arXivOpen access
T. BuckmasterP. GermainZ. HaniJ. Shatah
math.AP
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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T. BuckmasterP. GermainZ. HaniJ. Shatah

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