In this paper, we study the interaction between a nonlinear focusing Robin type boundary source, a nonlinear defocusing interior source, and a weak damping term for nonlinear Schrodinger equations posed on the infinite half-line. We construct solutions with negative initial energy satisfying a certain set of conditions which blow-up in finite time in the H-1-sense. We obtain a sufficient condition relating the powers of nonlinearities present in the model which allows construction of blow-up solutions. In addition to the blow-up property, we also discuss the stabilization property and the critical exponent for this model. (C) 2016 AIP Publishing LLC
We consider the critical nonlinear Schr¿odinger equation iut = -.u-|u| 4 N u with initial condition ...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
In this paper, we study the interaction between a nonlinear focusing Robin type boundary source, a n...
In this paper, we study the interaction between a nonlinear focusing Robin type boundary source, a n...
Ozsari, Turker/0000-0003-4240-5252WOS: 000446348800027The finite time blow-up of solutions for 1-D N...
International audienceWe consider the Schr\"odinger equation with nonlinear derivative term on $[0,+...
International audienceWe consider the Schr\"odinger equation with nonlinear derivative term on $[0,+...
Abstract. We consider equations of nonlinear Schrödinger type augmented by nonlinear damping terms....
We consider the time-dependent one-dimensional nonlinear Schrodinger equation with a pointwise singu...
We consider the time-dependent one-dimensional nonlinear Schrodinger equation with a pointwise singu...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the critical nonlinear Schr¿odinger equation iut = -.u-|u| 4 N u with initial condition ...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
In this paper, we study the interaction between a nonlinear focusing Robin type boundary source, a n...
In this paper, we study the interaction between a nonlinear focusing Robin type boundary source, a n...
Ozsari, Turker/0000-0003-4240-5252WOS: 000446348800027The finite time blow-up of solutions for 1-D N...
International audienceWe consider the Schr\"odinger equation with nonlinear derivative term on $[0,+...
International audienceWe consider the Schr\"odinger equation with nonlinear derivative term on $[0,+...
Abstract. We consider equations of nonlinear Schrödinger type augmented by nonlinear damping terms....
We consider the time-dependent one-dimensional nonlinear Schrodinger equation with a pointwise singu...
We consider the time-dependent one-dimensional nonlinear Schrodinger equation with a pointwise singu...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the critical nonlinear Schr¿odinger equation iut = -.u-|u| 4 N u with initial condition ...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...
We consider the Schrödinger equation in dimension two with a fixed, pointwise, focusing nonlinearity...