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July/August 2014 Global well-posedness for the $k$-dispersion generalized Benjamin-Ono equation
Luiz G. Farah, Felipe Linares, Ademir Pastor
Differential Integral Equations 27(7/8): 601-612 (July/August 2014).

Abstract

We consider the $k$-dispersion generalized Benjamin-Ono equation in the supercritical case. We establish sharp conditions on the data to show global well-posedness in the energy space for this family of nonlinear dispersive equations. We also prove similar results for the generalized Benjamin-Ono equation.

Citation

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Luiz G. Farah. Felipe Linares. Ademir Pastor. "Global well-posedness for the $k$-dispersion generalized Benjamin-Ono equation." Differential Integral Equations 27 (7/8) 601 - 612, July/August 2014.

Information

Published: July/August 2014
First available in Project Euclid: 6 May 2014

zbMATH: 1340.35295
MathSciNet: MR3200754

Subjects:
Primary: 35B40, 35B60, 35Q53

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.27 • No. 7/8 • July/August 2014
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