Decay estimates for hyperbolic partial differential equations in the L^p-L^q frame...
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Goias, IME, Caixa Postal 131, BR-74001970 Goiania, Go - Brazil
[2] Univ Estadual Campinas, IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 261, n. 3, p. 2041-2067, AUG 5 2016. |
| Web of Science Citations: | 4 |
| Abstract | |
In this paper we study the initial-value problem associated with the Benjamin-Ono-Zakharov-Kuznetsov equation. Such equation appears as a two-dimensional generalization of the Benjamin-Ono equation when transverse effects are included via weak dispersion of Zakharov-Kuznetsov type. We prove that the initial value problem is locally well-posed in the usual L-2(R-2)-based Sobolev spaces H-s (R-2), s > 11/8, and in some weighted Sobolev spaces. To obtain our results, most of the arguments are accomplished taking into account the ones for the Benjamin-Ono equation. (C) 2016 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 13/08050-7 - Nonlinear dispersive evolution equations and applications |
| Grantee: | Ademir Pastor Ferreira |
| Support type: | Regular Research Grants |