Decay properties for solutions of fifth order nonlinear dispersive equations
| Autor: | Pedro Isaza, Gustavo Ponce, Felipe Linares |
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| Rok vydání: | 2015 |
| Předmět: |
Applied Mathematics
Mathematical analysis Space (mathematics) Exponential function Nonlinear system Mathematics - Analysis of PDEs Character (mathematics) FOS: Mathematics Order (group theory) Initial value problem Korteweg–de Vries equation Analysis Analysis of PDEs (math.AP) Complement (set theory) Mathematics |
| Zdroj: | Journal of Differential Equations. 258:764-795 |
| ISSN: | 0022-0396 |
| DOI: | 10.1016/j.jde.2014.10.004 |
| Popis: | We consider the initial value problem associated to a large class of fifth order nonlinear dispersive equations. This class includes several models arising in the study of different physical phenomena. Our aim is to establish special (space) decay properties of solutions to these systems. These properties complement previous unique continuation results and, in some case, show that they are optimal. These decay estimates reflect the “parabolic character” of these dispersive models in exponential weighted spaces. This principle was first obtained by T. Kato in solutions of the KdV equation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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