17 citations · 143 across the 39 of their papers we have counts for
4 papers · 1 filter
Eigenvalues of the normalized complex Laplacian on finite electrical networks
Anna Muranova, Robert Schippa
The spectrum of the normalized complex Laplacian for electrical networks is analyzed. We show that eigenvalues lie in a larger region compared to the case of the real Laplacian. We…
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…
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…
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…