17 citations · 143 across the 39 of their papers we have counts for
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math.AP2020★ 8 cited
Low regularity well-posedness for generalized Benjamin-Ono equations on the circle
Kihyun Kim, Robert Schippa
New low regularity well-posedness results for the generalized Benjamin-Ono equations with quartic or higher nonlinearity and periodic boundary conditions are shown. We use the shor…
math.AP2020★ 13 cited
A priori estimates for the derivative nonlinear Schrödinger equation
Friedrich Klaus, Robert Schippa
We prove low regularity a priori estimates for the derivative nonlinear Schrödinger equation in Besov spaces with positive regularity index conditional upon small -norm. This…
math.AP2020★ 12 cited
Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation
Shinya Kinoshita, Robert Schippa
Local well-posedness for the two-dimensional Zakharov-Kuznetsov equation in the fully periodic case with initial data in Sobolev spaces , , is proved. Frequency dependent…