Global well-posedness for the KP-I equation |
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Authors: | L. Molinet J.C. Saut N. Tzvetkov |
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Affiliation: | (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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