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We prove local well-posedness for the Cauchy problem associated with Korteweg–de Vries equation on a metric star graph with three semi-infinite edges given by one negative half-line and two positive… (More)

This paper concerns the initial-boundary value problem (IBVP) of the Kawahara equation posed on the right and left half-lines. We prove the local well-posedness in the low regularity Sobolev space.… (More)

This paper is a continuation of authors' previous work \cite{CK2018-1}. We extend the argument \cite{CK2018-1} to fifth-order KdV-type equations with different nonlinearities, in specific, where the… (More)

The main purpose of this paper is to show the global stabilization and exact controllability properties for a fourth order nonlinear fourth order nonlinear Schr\"odinger system: $$i\partial_tu… (More)

This paper deals with the initial-boundary value problem of the biharmonic cubic nonlinear Schr\"odinger equation in a quarter plane with inhomogeneous Dirichlet-Neumann boundary data. We prove local… (More)

In this paper we study the stability problem for KdV solitons on the left and right half-line. Unlike standard KdV, these are not exact solutions to the equations posed in the half-line. However, we… (More)

We prove local well-posedness for the initial-boundary-value problem associated to some quadratic nonlinear Schr\"odinger equations on the half-line. The results are obtained in the low regularity… (More)

We prove local well-posedness for the initial-boundary value problem (IBVP) associated to the Schr\"odinger-Korteweg de Vries system on right and left half-lines. The results are obtained in the low… (More)

Baccharis dracunculifolia is a shrub native to Brazil and an important botanical source for propolis production. The essential oil from the leaves of B. dracunculifolia DC (Asteraceae), popularly… (More)

The initial-boundary value problem for the Schrodinger-Korteweg-de Vries system is considered on the left and right half-line for a wide class of initial-boundary data, including the energy… (More)

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