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A bilinear Airy- estimate with application to gKdV-3 | A Gruenrock
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28 Aug 2001 | Subject: | Analysis of PDEs | math.AP | Abstract: | The Fourier restriction norm method is used to show local wellposedness for the Cauchy Problem for the generalized KdV-equation of order three with data in the usual Sobolev space H^s, s > -1/6. For real valued data in L^2 global wellposedness follows by the conservation of the L^2-norm. The main new tool is a bilinear estimate for solutions of the Airy- equation. | Source: | arXiv, math.AP/0108184 | Services: | Forum | Review | PDF | Favorites |
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