Add to ORKGInternational audienceWe prove that the periodic modified Benjamin-Ono equation is locally well-posed in the energy space $H^{1/2}$. This ensures the global well-posedness in the defocusing case. The proof is based on an $X^{s,b}$ analysis of the system after gauge transform
International audienceWe consider a family of dispersion generalized Benjamin-Ono equations (dgBO) w...
International audienceWe consider a family of dispersion generalized Benjamin-Ono equations (dgBO) w...
We establish the local well-posedness of the generalized Benjamin-Ono equation $\partial_tu+\mathcal...
We prove that the periodic modified Benjamin-Ono equation is locally well-posed in the energy space ...
New low regularity well-posedness results for the generalized Benjamin-Ono equations with quartic or...
International audienceIn this paper, we prove that the Cauchy problem associated to the following hi...
International audienceIn a recent work, Ionescu and Kenig proved that the Cauchy problem associatedt...
International audienceWe show that the initial value problem associated to the dispersive generalize...
International audienceIn a recent work, Ionescu and Kenig proved that the Cauchy problem associatedt...
49 pagesWe prove existence of solutions for the Benjamin-Ono equation with data in $H^s(\R)$, $s>0$....
In this work we prove local and global well-posedness results for the Cauchy problem of a family of ...
AbstractWe prove that the Cauchy problem for the dispersion generalized Benjamin–Ono equation∂tu+|∂x...
AbstractWe study well-posedness for the initial value problem associated to the Benjamin equation an...
We study the unconditional uniqueness of solutions to the Benjamin-Ono equation with initial data in...
Schippa R. Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the ...
International audienceWe consider a family of dispersion generalized Benjamin-Ono equations (dgBO) w...
International audienceWe consider a family of dispersion generalized Benjamin-Ono equations (dgBO) w...
We establish the local well-posedness of the generalized Benjamin-Ono equation $\partial_tu+\mathcal...
We prove that the periodic modified Benjamin-Ono equation is locally well-posed in the energy space ...
New low regularity well-posedness results for the generalized Benjamin-Ono equations with quartic or...
International audienceIn this paper, we prove that the Cauchy problem associated to the following hi...
International audienceIn a recent work, Ionescu and Kenig proved that the Cauchy problem associatedt...
International audienceWe show that the initial value problem associated to the dispersive generalize...
International audienceIn a recent work, Ionescu and Kenig proved that the Cauchy problem associatedt...
49 pagesWe prove existence of solutions for the Benjamin-Ono equation with data in $H^s(\R)$, $s>0$....
In this work we prove local and global well-posedness results for the Cauchy problem of a family of ...
AbstractWe prove that the Cauchy problem for the dispersion generalized Benjamin–Ono equation∂tu+|∂x...
AbstractWe study well-posedness for the initial value problem associated to the Benjamin equation an...
We study the unconditional uniqueness of solutions to the Benjamin-Ono equation with initial data in...
Schippa R. Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the ...
International audienceWe consider a family of dispersion generalized Benjamin-Ono equations (dgBO) w...
International audienceWe consider a family of dispersion generalized Benjamin-Ono equations (dgBO) w...
We establish the local well-posedness of the generalized Benjamin-Ono equation $\partial_tu+\mathcal...