The IVP for the dispersion generalized Benjamin–Ono equation in weighted Sobolev spaces

By Germán E. Fonseca, Felipe Linares, Gustavo Ponce. 2011

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Abstract We study the initial value problem associated to the dispersion generalized Benjamin–Ono equation. Our aim is to establish persistence properties of the solution flow in weighted Sobolev spaces and to deduce from them some sharp unique continuation properties of solutions to this equation. In particular, we shall establish optimal decay rate for the solutions of this model.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/89fba1486dd19b8fd0c36894b4f38ebbf40e88f9