3 papers
math.AP2019
Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle
Robert Schippa
New local well-posedness results for dispersion generalized Benjamin-Ono equations on the torus are proved. The family of equations under consideration links the Benjamin-Ono and K…
math.AP2019
On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations
Robert Schippa
A family of dispersive equations is considered which links a higher dimensional Benjamin-Ono equation and the Zakharov-Kuznetsov equation. For these fractional Zakharov-Kuznetsov e…
math.AP2018
On shorttime bilinear Strichartz estimates and applications to improve the energy method
Robert Schippa
A refinement of the energy method is introduced for dispersive PDE with derivative nonlinearity posed on tori. Key ingredient is a shorttime bilinear Strichartz estimate, which is…