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

Autor: Fonseca, Germán, Linares, Felipe, Ponce, Gustavo
Rok vydání: 2012
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 22 pages. The paper has been withdrawn due to an error in the maximal norm estimate that we haven't been able to overcome
Databáze: arXiv