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 The paper has been withdrawn due to an error in the maximal norm estimate that we haven't been able to overcome |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 |
Externí odkaz: |