Dunkl-Schrödinger Equations with and without Quadratic Potentials

Mejjaoli, Hatem. "Dunkl-Schrödinger Equations with and without Quadratic Potentials." Serdica Mathematical Journal 37.2 (2011): 113-142. <http://eudml.org/doc/281578>.

@article{Mejjaoli2011,
abstract = {2000 Mathematics Subject Classification: Primary 42A38. Secondary 42B10.The purpose of this paper is to study the dispersive properties of the solutions of the Dunkl-Schrödinger equation and their perturbations with potential. Furthermore, we consider a few applications of these results to the corresponding nonlinear Cauchy problems.},
author = {Mejjaoli, Hatem},
journal = {Serdica Mathematical Journal},
keywords = {Nonlinear Dunkl-Schrödinger Equation; Strichartz Estimate; Local and Global Well-Posedness; Blow Up; Scattering; Wave Operators; nonlinear Dunkl-Schrödinger equation; Strichartz estimate; global well-posedness; blow-up; wave operator; scattering},
language = {eng},
number = {2},
pages = {113-142},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Dunkl-Schrödinger Equations with and without Quadratic Potentials},
url = {http://eudml.org/doc/281578},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Mejjaoli, Hatem
TI - Dunkl-Schrödinger Equations with and without Quadratic Potentials
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 2
SP - 113
EP - 142
AB - 2000 Mathematics Subject Classification: Primary 42A38. Secondary 42B10.The purpose of this paper is to study the dispersive properties of the solutions of the Dunkl-Schrödinger equation and their perturbations with potential. Furthermore, we consider a few applications of these results to the corresponding nonlinear Cauchy problems.
LA - eng
KW - Nonlinear Dunkl-Schrödinger Equation; Strichartz Estimate; Local and Global Well-Posedness; Blow Up; Scattering; Wave Operators; nonlinear Dunkl-Schrödinger equation; Strichartz estimate; global well-posedness; blow-up; wave operator; scattering
UR - http://eudml.org/doc/281578
ER -