7 citations · 13 across the 14 of their papers we have counts for
18 papers
Ill-posedness in the critical Sobolev space for the hyperelastic rod equation
Dan-Andrei Geba
This article is the third in a series investigating ill-posedness in critical Sobolev spaces for Camassa-Holm-type equations. Following results for the -Novikov and Fokas-Olver-…
Ill-posedness in the critical Sobolev space for the Fokas-Olver-Rosenau-Qiao equation
Dan-Andrei Geba
This article proves norm inflation in the critical Sobolev space for the Fokas-Olver-Rosenau-Qiao equation, which is a modified Camassa-Holm-type equation wit…
Ill-posedness in the critical Sobolev space for the -Novikov equation
Dan-Andrei Geba, A. Alexandrou Himonas, Curtis Holliman
This article proves norm inflation in the critical Sobolev space for the -Novikov equation, which is a -parameter family of Camassa-Holm-type equations…
Unconditional well-posedness for the Kawahara equation
Dan-Andrei Geba, Bai Lin
This article is concerned with the unconditional well-posedness for the Kawahara equation on the real line and shows that this holds true for initial data in . Thi…
Revisited bilinear Schrödinger estimates with applications to generalized Boussinesq equations
Dan-Andrei Geba, Evan Witz
In this paper, our goal is to improve the local well-posedness theory for certain generalized Boussinesq equations by revisiting bilinear estimates related to the Schrödinger equat…
Improved global well-posedness for defocusing sixth-order Boussinesq equations
Dan-Andrei Geba, Evan Witz
This article studies the global well-posedness for a class of defocusing, generalized sixth-order Boussinesq equations, extending a previous result obtained by Wang and Esfahani fo…