2012/05/24 by Germán Fonseca, Fonseca, Germán, Felipe Linares +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Mathematical Analysis and Transform Methods
paper · pdf · doi:10.48550/arxiv.1205.5450
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.