On shorttime bilinear Strichartz estimates and applications to improve the energy method
arXiv:1810.04406 · doi:10.1016/j.na.2020.111910
Abstract
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 used in a known combination of perturbative and energy arguments.
arXiv commentcorrection regarding period lengths of solutions to Zakharov-Kuznetsov equation
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Cited by in corpus (4)
- On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations
- Low regularity well-posedness for generalized Benjamin-Ono equations on the circle
- Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle
- On Strichartz estimates from decoupling and applications