3 papers
math.AP2017
Construction of 2-peakon Solutions and Ill-Posedness for the Novikov equation
A. Alexandrou Himonas, Curtis Holliman, Carlos Kenig
For the Novikov equation, on both the line and the circle, we construct a 2-peakon solution with an asymmetric antipeakon-peakon initial profile whose -norm for is arb…
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.AP2006
Persistence Properties and Unique Continuation of solutions of the Camassa-Holm equation
A. Alexandrou Himonas, Gerard Misiołek, Gustavo Ponce +1
It is shown that a strong solution of the Camassa-Holm equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also…