Construction of non-analytic solutions for the generalized KdV equation |
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| Authors: | Jennifer Gorsky |
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| Affiliation: | Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA |
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| Abstract: | In both the periodic and non-periodic case we construct non-analytic complex-valued solutions for the generalized KdV equation with appropriate analytic initial data. Moreover, for the KdV and mKdV we construct real-valued non-analytic solutions. |
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| Keywords: | KdV mKdV Generalized KdV Cauchy problem Analytic initial data Non-analytic solutions Cauchy estimates |
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