2 citations · 4 across the 5 of their papers we have counts for
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A monotonicity formula for the fractional Laplacian and instability results for the Shrira equation
Argenis J. Méndez, Oscar Riaño
By employing a new class of pseudo-differential operators introduced in a previous work, we establish a novel monotonicity formula for the fractional Laplacian in $\…
Long time asymptotics of large data in the Kadomtsev-Petviashvili models
Argenis J. Mendez, Claudio Muñoz, Felipe Poblete +1
We consider the Kadomtsev-Petviashvili (KP) equations posed on . For both equations, we provide sequential in time asymptotic descriptions of solutions, of arbitraril…
On long time behavior of solutions of the Schrödinger-Korteweg-de Vries system
F. Linares, A. J. Mendez
We are concerned with the decay of long time solutions of the initial value problem associated with the Schrödinger-Korteweg-de Vries system. We use recent techniques in order to s…
On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov Equation
Ricardo. C. Freire, Argenis J. Mendez, Oscar Riaño
This work aims to study some smoothness properties concerning the initial value problem associated to the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation. More prec…
On the propagation of regularity for solutions of the Zakharov-Kuznetsov equation
A. J. Mendez
In this work, we study some special properties of smoothness concerning to the initial value problem associated with the Zakharov-Kuznetsov-(ZK) equation in the dimensional se…
On the propagation of regularity for solutions of the Dispersion Generalized Benjamin-Ono Equation
Argenis. J. Mendez
In this paper we study some properties of propagation of regularity of solutions of the dispersive generalized Benjamin-Ono (BO) equation. This model defines a family of dispersive…