Add to ORKGThe Cauchy problem for a coupled system of Schr\"odinger and improved Boussinesq equations is studied. Local well-posedness is proved in $L^2(\R^n)$ for $n\le 3$. Global well-posedness is proved in the energy space for $n\le 2$. Under smallness assumption on the Cauchy data, the local result in $L^2$ is proved for $n=4$
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOFAPESP - FUNDAÇÃO DE AMPARO À PE...
Consideration is given to initial value problem for systems of two evolution equations of generalize...
Abstract In this paper, we show the global well-posedness of a higher-order nonlinear Schrödinger eq...
The Cauchy problem for a coupled system of Schr\"odinger and improved Boussinesq equations is studie...
AbstractIn this work, we prove that the Cauchy problem∂tu+νu+∂xv+u∂xu=μΔu,∂tv+νv+∂x(uv+u−∂x2u)+∂x−1∂...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
AbstractIn this paper we prove that in the general case (i.e. β not necessarily vanishing) the Cauch...
In the theory of Langmuir plasma turbulence, the Schrödinger equation with a self-consistent potent...
AbstractWe prove that the Cauchy problem for the Schrödinger–Korteweg–de Vries system is locally wel...
and Yu-Zhu Wang†‡ In this paper, we study the well-posedness of the initial value problem for the Sc...
We consider a generalization of the Boussinesq equation obtained by adding a term of the form $a(t...
Considered here is the Schrödinger-improved Boussinesq system. First we prove local and global well-...
Consideration is given to initial value problem for systems of two evolution equations of generalize...
Consideration is given to initial value problem for systems of two evolution equations of generalize...
We study the existence of local and global solutions for coupled Schrödinger-Boussinesq systems with...
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOFAPESP - FUNDAÇÃO DE AMPARO À PE...
Consideration is given to initial value problem for systems of two evolution equations of generalize...
Abstract In this paper, we show the global well-posedness of a higher-order nonlinear Schrödinger eq...
The Cauchy problem for a coupled system of Schr\"odinger and improved Boussinesq equations is studie...
AbstractIn this work, we prove that the Cauchy problem∂tu+νu+∂xv+u∂xu=μΔu,∂tv+νv+∂x(uv+u−∂x2u)+∂x−1∂...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
AbstractIn this paper we prove that in the general case (i.e. β not necessarily vanishing) the Cauch...
In the theory of Langmuir plasma turbulence, the Schrödinger equation with a self-consistent potent...
AbstractWe prove that the Cauchy problem for the Schrödinger–Korteweg–de Vries system is locally wel...
and Yu-Zhu Wang†‡ In this paper, we study the well-posedness of the initial value problem for the Sc...
We consider a generalization of the Boussinesq equation obtained by adding a term of the form $a(t...
Considered here is the Schrödinger-improved Boussinesq system. First we prove local and global well-...
Consideration is given to initial value problem for systems of two evolution equations of generalize...
Consideration is given to initial value problem for systems of two evolution equations of generalize...
We study the existence of local and global solutions for coupled Schrödinger-Boussinesq systems with...
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOFAPESP - FUNDAÇÃO DE AMPARO À PE...
Consideration is given to initial value problem for systems of two evolution equations of generalize...
Abstract In this paper, we show the global well-posedness of a higher-order nonlinear Schrödinger eq...