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arXiv · 1205.5450

Well-posedness results for the dispersion generalized Benjamin-Ono equation via the contraction principle

Germán Fonseca·Felipe Linares·Gustavo Ponce
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Abstract

We study the initial value problem associated to the dispersion generalized Benjamin-Ono equation. Our aim is to establish well-posedness results in weighted Sobolev spaces via contraction principle under minimal requirements in the weighted order of the space. One of our new main ideas is the deduction of a pointwise estimate concerning the group describing the solution of the linear problem and the fractional weights.

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Germán Fonseca, Felipe Linares, Gustavo Ponce. 2013-09-01. Well-posedness results for the dispersion generalized Benjamin-Ono equation via the contraction principle. https://arxiv.org/abs/1205.5450

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