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math.AP2019
The Cauchy Problem for Dissipative Benjamin-Ono equation in Weighted Sobolev spaces
Alysson Cunha
We study the well-posedness in weighted Sobolev spaces, for the initial value problem (IVP) associated with the dissipative Benjamin-Ono (dBO) equation. We establish persistence pr…
math.AP2019
The IVP for the Kuramoto-Sivashinsky equation in low regularity Sobolev spaces
Alysson Cunha, Eduardo Alarcon
In this work, we study the initial-value problem associated with the Kuramoto-Sivashinsky equation. We show that the associated initial value problem is locally and globally well-p…