u(x, 0) = u0(x), where u0 âˆˆ H(R). Our principal aim here is to lower the best index s for which one has local well posedness in H(R), i.e. existence, uniqueness, persistence and continuous dependenceâ€¦ (More)

We study the initial value problem (IVP) associated to some canonical dispersive equations. Our main concern is to establish the minimal regularity property required in the data which guarantees theâ€¦ (More)

We study the initial value problem associated to the BenjaminOno equation. The aim is to establish persistence properties of the solution flow in the weighted Sobolev spaces Zs,r = Hs(R)â€¦ (More)

BACKGROUND
The V1016I and F1534C mutations in the voltage-gated sodium channel gene have been associated with resistance to pyrethroids and DDT in Aedes aegypti mosquitoes. A study was carried out toâ€¦ (More)

Our goal is to obtain sufficient conditions on the behavior of the solution u at two different times t0 = 0 and t1 = 1 which guarantee that u â‰¡ 0 is the unique solution of (1.1). In the case of theâ€¦ (More)

Resistance to the insecticides deltamethrin and malathion and the enzymes associated with metabolic resistance mechanisms were determined in four field populations of Aedes aegypti (L.) from westernâ€¦ (More)

We prove unique continuation properties for solutions of the evolution SchrÃ¶dinger equation with time dependent potentials. As an application of our method we also obtain results concerning theâ€¦ (More)

In this paper we prove that the initial value problem associated to the following higher-order Benjamin-Ono equation âˆ‚tv âˆ’ bHâˆ‚ xv + aâˆ‚ xv = cvâˆ‚xv âˆ’ dâˆ‚x(vHâˆ‚xv + H(vâˆ‚xv)), where x, t âˆˆ R, v is aâ€¦ (More)

(1.1) âˆ‚tu + âˆ‚ 3 xu + u âˆ‚xu = 0, (x, t) âˆˆ R, k âˆˆ Z. Our goal is to obtain sufficient conditions on the behavior of the difference u1 âˆ’ u2 of two solutions u1, u2 of (1.1) at two different times t0 = 0â€¦ (More)