We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal term in Rn. Existence and uniqueness of local and global solutions are established in spaces which allow singular initial data. Scattering, asymptotic stability, and decay rates are also proved187/876979
Abstract. The energy-critical, focusing nonlinear Schrödinger equation in the nonradial case reads a...
A nonlocal nonlinear Schrödinger (NLS) equation was recently introduced and shown to be an integrab...
This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the ...
We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal ter...
We consider the Cauchy problem of a nonlocal nonlinear Schrödinger equation with self-induced parity...
This paper considers the one-dimensional Schrödinger equation with nonlocal nonlinearity that descri...
International audienceIn this paper, we construct for every $\alpha >0$ and $\lambda \in {\mathbb C}...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solutio...
The nonlinear Schrödinger equation has received a great deal of attention from mathematicians, in pa...
We are concerned with the two-power nonlinear Schrodinger-type equations with non-local terms. We co...
AbstractWe prove the nonlinear Schrödinger equation has a local solution for any energy – subcritica...
AbstractWe study the Cauchy problem for a class of nonlinear Schrödinger equations of the form i(dud...
Abstract We prove the existence of periodic solutions and solitons in the nonlinear Schrödinger equa...
We study the following singularly perturbed nonlocal Schrödinger equation. where V(. x) is a continu...
Abstract. The energy-critical, focusing nonlinear Schrödinger equation in the nonradial case reads a...
A nonlocal nonlinear Schrödinger (NLS) equation was recently introduced and shown to be an integrab...
This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the ...
We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal ter...
We consider the Cauchy problem of a nonlocal nonlinear Schrödinger equation with self-induced parity...
This paper considers the one-dimensional Schrödinger equation with nonlocal nonlinearity that descri...
International audienceIn this paper, we construct for every $\alpha >0$ and $\lambda \in {\mathbb C}...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solutio...
The nonlinear Schrödinger equation has received a great deal of attention from mathematicians, in pa...
We are concerned with the two-power nonlinear Schrodinger-type equations with non-local terms. We co...
AbstractWe prove the nonlinear Schrödinger equation has a local solution for any energy – subcritica...
AbstractWe study the Cauchy problem for a class of nonlinear Schrödinger equations of the form i(dud...
Abstract We prove the existence of periodic solutions and solitons in the nonlinear Schrödinger equa...
We study the following singularly perturbed nonlocal Schrödinger equation. where V(. x) is a continu...
Abstract. The energy-critical, focusing nonlinear Schrödinger equation in the nonradial case reads a...
A nonlocal nonlinear Schrödinger (NLS) equation was recently introduced and shown to be an integrab...
This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the ...