Acta Mathematica Vietnamica


Well-posedness of the ADMB–KdV equation in Sobolev spaces of negative indices
Amin Esfahani, Reza Pourgholi



In this paper, we study the ADMB–KdV equation. We show that the associated initial value problem is locally well posed in Sobolev spaces $H^{s}(\mathbb{R}^{2})$ for s>−1/2. We also prove that our result is sharp in some sense.

You are here: Home No. 2