On the Propagation of Regularity and Decay of Solutions to thek-Generalized Korteweg-de Vries Equation
| Autor: | Gustavo Ponce, Felipe Linares, Pedro Isaza |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Communications in Partial Differential Equations. 40:1336-1364 |
| ISSN: | 1532-4133 0360-5302 |
| DOI: | 10.1080/03605302.2014.985794 |
| Popis: | We study special regularity and decay properties of solutions to the IVP associated to the k-generalized KdV equations. In particular, for datum u 0 ∈ H 3/4+ (ℝ) whose restriction belongs to H l ((b, ∞)) for some l ∈ ℤ+ and b ∈ ℝ we prove that the restriction of the corresponding solution u(·, t) belongs to H l ((β, ∞)) for any β ∈ ℝ and any t ∈ (0, T). Thus, this type of regularity propagates with infinite speed to its left as time evolves. |
| Databáze: | OpenAIRE |
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