Mathematik und Statistikhttp://kops.uni-konstanz.de:80/handle/123456789/82020-02-20T03:05:10Z2020-02-20T03:05:10ZGlobal attractors for nonlinear beam equationsRacke, Reinhardpop03677Shang, Chanyu123456789/590.22020-02-18T14:07:47Z2012Global attractors for nonlinear beam equations
Racke, Reinhard; Shang, Chanyu
This paper is concerned with the dynamics of nonlinear one-dimensional beam equations. We consider nonlinear beam equations with viscosity or with a lower-order damping term instead of the viscosity, and we establish the existence of global attractors for both systems.
2012Racke, ReinhardShang, Chanyu510This paper is concerned with the dynamics of nonlinear one-dimensional beam equations. We consider nonlinear beam equations with viscosity or with a lower-order damping term instead of the viscosity, and we establish the existence of global attractors for both systems.Cambridge University PressJOURNAL_ARTICLEeng10.1017/S030821051000168X0308-21051473-7124108711071425Proceedings of the Royal Society of Edinburgh, Section A: Mathematics2020-02-18T15:07:46+01:00123456789/39Proceedings of the Royal Society of Edinburgh, Section A: Mathematics ; 142 (2012), 5. - S. 1087-1107. - Cambridge University Press. - ISSN 0308-2105. - eISSN 1473-7124true2020-02-18T14:07:46ZtrueRelaxing the Nonsingularity Assumption for Intervals of Totally Nonnegative MatricesAdm, Mohammadpop242028Al Muhtaseb, KhawlaGhani, Ayed AbedelGarloff, Jürgenpop45676123456789/486602020-02-18T02:02:41Z2020Relaxing the Nonsingularity Assumption for Intervals of Totally Nonnegative Matrices
Adm, Mohammad; Al Muhtaseb, Khawla; Ghani, Ayed Abedel; Garloff, Jürgen
Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the two bound matrices of such a matrix interval are totally nonnegative and satisfy certain conditions then all matrices from this interval are totally nonnegative and satisfy these conditions, too, hereby relaxing the nonsingularity condition in a former paper [M. Adm, J. Garloff, Intervals of totally nonnegative matrices, Linear Algebra Appl. 439 (2013), pp.3796-3806].
2020Adm, MohammadAl Muhtaseb, KhawlaGhani, Ayed AbedelGarloff, Jürgen510Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the two bound matrices of such a matrix interval are totally nonnegative and satisfy certain conditions then all matrices from this interval are totally nonnegative and satisfy these conditions, too, hereby relaxing the nonsingularity condition in a former paper [M. Adm, J. Garloff, Intervals of totally nonnegative matrices, Linear Algebra Appl. 439 (2013), pp.3796-3806].WORKINGPAPERurn:nbn:de:bsz:352-2-3w7jk3bobrpp9engKonstanzer Schriften in Mathematik3882020-02-17T10:53:12+01:00123456789/392020-02-17T09:53:12ZA theoretical investigation of time-dependent Kohn–Sham equations : new proofsCiaramella, Gabrielepop513180Sprengel, MartinBorzì, Alfio123456789/486452020-02-14T12:46:33Z2019-10-18A theoretical investigation of time-dependent Kohn–Sham equations : new proofs
Ciaramella, Gabriele; Sprengel, Martin; Borzì, Alfio
In this paper, a new analysis for the existence, uniqueness, and regularity of solutions to a time-dependent Kohn–Sham equation is presented. The Kohn–Sham equation is a nonlinear integral Schrödinger equation that is of great importance in many applications in physics and computational chemistry. To deal with the time-dependent, nonlinear and non-local potentials of the Kohn–Sham equation, the analysis presented in this manuscript makes use of energy estimates, fixed-point arguments, regularization techniques, and direct estimates of the non-local potential terms. The assumptions considered for the time-dependent and nonlinear potentials make the obtained theoretical results suitable to be used also in an optimal control framework.
2019-10-18Ciaramella, GabrieleSprengel, MartinBorzì, Alfio510In this paper, a new analysis for the existence, uniqueness, and regularity of solutions to a time-dependent Kohn–Sham equation is presented. The Kohn–Sham equation is a nonlinear integral Schrödinger equation that is of great importance in many applications in physics and computational chemistry. To deal with the time-dependent, nonlinear and non-local potentials of the Kohn–Sham equation, the analysis presented in this manuscript makes use of energy estimates, fixed-point arguments, regularization techniques, and direct estimates of the non-local potential terms. The assumptions considered for the time-dependent and nonlinear potentials make the obtained theoretical results suitable to be used also in an optimal control framework.Taylor & FrancisJOURNAL_ARTICLEeng10.1080/00036811.2019.16797920003-68111563-504XApplicable Analysis2020-02-14T13:46:33+01:00123456789/39Applicable Analysis ; 2019. - Taylor & Francis. - ISSN 0003-6811. - eISSN 1563-504Xunknown2020-02-14T12:46:33ZThe full moment problem on subsets of probabilities and point configurationsInfusino, Mariapop258794Kuna, Tobias123456789/486402020-02-14T09:33:40Z2020The full moment problem on subsets of probabilities and point configurations
Infusino, Maria; Kuna, Tobias
2020Infusino, MariaKuna, Tobias510ElsevierJOURNAL_ARTICLEeng10.1016/j.jmaa.2019.1235510022-247X1096-08134831Journal of Mathematical Analysis and Applications2020-02-14T10:33:40+01:00123456789/39Journal of Mathematical Analysis and Applications ; 483 (2020), 1. - 123551. - Elsevier. - ISSN 0022-247X. - eISSN 1096-0813true2020-02-14T09:33:40Ztrue