Add to ORKGGeneralized solutions of the Cauchy problem for the one-dimensional periodic nonlinear Schrödinger equation, with cubic or quadratic nonlinearities, are not unique. For any s < 0 there exist nonzero generalized solutions varying continuously in the Sobolev space H s, with identically vanishing initial data
summary:Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrö\-din\-ger equation...
AbstractWe study the Cauchy problem for a class of nonlinear Schrödinger equations of the form i(dud...
the nonexistence of nontrivial periodic solutions to a class of nonlinear differentia
We show novel types of uniqueness and rigidity results for Schrödinger equations in either the nonli...
Herr S, Sohinger V. Unconditional Uniqueness Results for the Nonlinear Schrödinger Equation. Commun...
We study the 1D nonlinear Schrödinger equation with non-gauge invariant quadratic nonlinearity on th...
We consider non-gauge-invariant cubic nonlinear Schrödinger equations in one space dimension. We sho...
AbstractWe construct periodic solutions to coupled nonlinear one-dimensional Schrödinger equations w...
AbstractWe study the Cauchy problem for the nonlinear Schrödinger equations with nonlinear term |u|o...
Abstract. In this paper, we establish the unconditional uniqueness of solutions to the cubic Gross-P...
AbstractExistence of a nontrivial solution is established, via variational methods, for a system of ...
In this work we study the well-posedness for the initial value problem associated to a generalized d...
We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal ter...
summary:We show the existence of weak solutions in the extended sense of the Cauchy problem for the ...
We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equatio...
summary:Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrö\-din\-ger equation...
AbstractWe study the Cauchy problem for a class of nonlinear Schrödinger equations of the form i(dud...
the nonexistence of nontrivial periodic solutions to a class of nonlinear differentia
We show novel types of uniqueness and rigidity results for Schrödinger equations in either the nonli...
Herr S, Sohinger V. Unconditional Uniqueness Results for the Nonlinear Schrödinger Equation. Commun...
We study the 1D nonlinear Schrödinger equation with non-gauge invariant quadratic nonlinearity on th...
We consider non-gauge-invariant cubic nonlinear Schrödinger equations in one space dimension. We sho...
AbstractWe construct periodic solutions to coupled nonlinear one-dimensional Schrödinger equations w...
AbstractWe study the Cauchy problem for the nonlinear Schrödinger equations with nonlinear term |u|o...
Abstract. In this paper, we establish the unconditional uniqueness of solutions to the cubic Gross-P...
AbstractExistence of a nontrivial solution is established, via variational methods, for a system of ...
In this work we study the well-posedness for the initial value problem associated to a generalized d...
We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal ter...
summary:We show the existence of weak solutions in the extended sense of the Cauchy problem for the ...
We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equatio...
summary:Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrö\-din\-ger equation...
AbstractWe study the Cauchy problem for a class of nonlinear Schrödinger equations of the form i(dud...
the nonexistence of nontrivial periodic solutions to a class of nonlinear differentia