Global well-posedness for the KP-I equation |
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| Authors: | L Molinet JC Saut N Tzvetkov |
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| Institution: | (1) L.A.G.A., Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, France , FR;(2) Université de Paris-Sud, UMR de Mathématiques, Bat. 425, 91405 Orsay Cedex, France , FR |
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| Abstract: | We prove the global well-posedness of the KP-I equation in for data of arbitrary size in a suitable Sobolev class. We use a compactness method to get local solutions. We extend the
solutions thanks to some conservation laws, an almost conserved quantity and Strichartz estimates.
Received: 5 April 2001 / Revised version: 22 October 2001 / Published online: 17 June 2002 |
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| Keywords: | Mathematics Subject Classification (2000): 35Q53 35B45 76B15 |
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