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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.CA2012
Restricted convolution inequalities, multilinear operators and applications
Dan-Andrei Geba, Allan Greenleaf, Alex Iosevich +2
For , we prove that for functions on , any -dimensional affine subspace , and with $\frac{1}{p}+\frac{1}{q…
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…