2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AP2012
Ill-posedness results for generalized Boussinesq equations
Dan-Andrei Geba, A. Alexandrou Himonas, David Karapetyan
In this article we present ill-posedness results for generalized Boussinesq equations, which incorporate also the ones obtained by the authors for the classical "good" Boussinesq e…
math.AP2012★ 2 cited
An ill-posedness result for the Boussinesq equation
Dan-Andrei Geba, A. Alexandrou Himonas, David Karapetyan
The aim of this article is to prove new ill-posedness results concerning the nonlinear "good" Boussinesq equation, for both the periodic and non-periodic initial value problems. Sp…
math.AP2011
Hölder Continuity of the Data to Solution Map for HR in the Weak Topology
David Karapetyan
It is shown that the data to solution map for the hyperelastic rod equation is Hölder continuous from bounded sets of Sobolev spaces with exponent measured in a weaker So…