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Thursday, July 30, 2020 | History

4 edition of **Time-dependent subdifferential evolution inclusions and optimal control** found in the catalog.

- 100 Want to read
- 21 Currently reading

Published
**1998**
by American Mathematical Society in Providence, R.I
.

Written in English

- Subdifferentials.,
- Differential inclusions.,
- Evolution equations.,
- Control theory.,
- Mathematical optimization.

**Edition Notes**

Statement | Shouchuan Hu, Nikolaos S. Papageorgiou. |

Series | Memoirs of the American Mathematical Society,, no. 632 |

Contributions | Papageorgiou, Nikolaos Socrates. |

Classifications | |
---|---|

LC Classifications | QA3 .A57 no. 632, QA331 .A57 no. 632 |

The Physical Object | |

Pagination | viii, 81 p. ; |

Number of Pages | 81 |

ID Numbers | |

Open Library | OL343749M |

ISBN 10 | 082180779X |

LC Control Number | 98002684 |

Time-dependent density functional theory. Max-Planck Institute for. Optimal control theory. PHENOMENA TO BE DESCRIBED WITH TDDFT PHENOMENA TO BE DESCRIBED WITH TDDFT. Time-dependent systems. Time-dependent systems Weak laser (v. laser (t) File Size: 1MB. TIME-DEPENDENT SYSTEMS AND CHAOS IN STRING THEORY One of the phenomenal results emerging from string theory is the AdS/CFT corre-spondence or gauge-gravity duality: In certain cases a theory of gravity is equivalent to a \dual" gauge theory, very similar to the one describing non-gravitational inter-actions of fundamental subatomic particles.

– On the maximal monotonicity of subdifferential mappings, Pacific J. Math., 33 (), – (b) books: author’s surname and initials, full title of the book, publisher, places and year of the publication; example: 2. Time Dependent Density-Functional Theory - Linear Response Bryan Edman Sundahl University of Tennessee - Knoxville, [email protected] This Thesis is brought to you for free and open access by the Graduate School at Trace: Tennessee .

Time-Dependent Density Functional Theory Applications and results: The ETSF The name of the game: TDDFT DFT TDDFT Hohenberg-Kohn The ground-state expectation value of any physical observable of a many-electrons system is a unique functional of the electron density n(r) ϕ0 Ob ϕ0 D = O[n] erg and , B () Runge. Time-Dependent Current-Density-Functional Theory for Metals Proefschrift ter verkrijging van het doctoraat in de Wiskunde en Natuurwetenschappen aan de Rijksuniversiteit Groningen op gezag van de Rector Magni cus, dr. F. Zwarts, in het openbaar te verdedigen op maandag 9 oktober om uur door Pina Romaniello geboren op 27 mei te.

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This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems.

The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. Time-dependent subdifferential evolution inclusions and optimal control / Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Shouchuan Hu; Nikolaos Socrates Papageorgiou.

Get this from a library. Time-dependent subdifferential evolution inclusions and optimal control. [Shouchuan Hu; Nikolaos Socrates Papageorgiou]. Relaxation of Optimal Control Problems Involving Time Dependent Subdifferential Operators Article in Numerical Functional Analysis and Optimization 34(10) October with 43 Reads.

In this chapter, we studied a new class of problems in the theory of optimal control defined by polynomial linear differential operators. As a result, an interesting Mayer problem arises with higher order differential inclusions. Thus, in terms of the Euler-Lagrange and Hamiltonian type inclusions, sufficient optimality conditions are : Elimhan N.

Mahmudov. where A(t) is a time dependent with Lipschitz variation maximal monotone operator and the perturbation f(t.) is boundedly l new results are presented in the sense that these second-order evolution inclusions deal with time-dependent maximal monotone operators by contrast with the classical case dealing with some special fixed by: 2.

We consider evolution inclusions driven by a time dependent subdifferential plus a multivalued perturbation. We look for periodic solutions. We prove existence results for the convex problem (convex valued perturbation), for the nonconvex problem (nonconvex valued perturbation) and for extremal trajectories (solutions passing from the extreme points of the multivalued perturbation).Cited by: 8.

The purpose of this paper is to study from many different viewpoints evolution inclusions and optimal control problems involving time dependent subdifferential operators. Throughout this. In this paper we have introduced a new class of problems of optimal control theory with differential inclusions described by polynomial linear differential operators.

Consequently, there arises a rather complicated problem with simultaneous determination of the polynomial linear differential operators with variable coefficients and a Mayer functional depending on high order : Elimhan N. Mahmudov. In this paper we study an optimal control problem for a doubly nonlinear evolution equation governed by time-dependent subdifferentials.

We prove the existence of solutions to our equation. Also, we consider an optimal control problem without uniqueness of solutions to the state : M. Hassan Farshbaf-Shaker, Noriaki Yamazaki. Discover Book Depository's huge selection of Nikolaos S Papageorgiou books online.

Free delivery worldwide on over 20 million titles. () Solvability and optimal controls of fractional delay evolution inclusions with Clarke subdifferential. Mathematical Methods in the Applied Sciences() On the approximate controllability for some impulsive fractional evolution hemivariational by: We propose an abstract variational inequality formulation of the Cahn–Hilliard equation with a time-dependent constraint.

We introduce notions of strong and weak solutions, and prove that a strong solution, if it exists, is a weak solution, and that the existence of a unique weak solution holds under an appropriate time-dependence condition on the by: Time-dependent subdifferential evolution inclusions and optimal control - Shouchuan Hu and Nikolaos S.

Papageorgiou: MEMO/ The Siegel modular variety of degree two and level four - Ronnie Lee and Steven H. Weintraub: MEMO/ The $\Gamma $-equivariant form of the Berezin quantization of the upper half plane - Florin Rădulescu: Volume.

SIAM Journal on Control and Optimization() Optimal control of nonlinear evolution equations with nonmonotone nonlinearities. () Nonconvex and nonmonotone perturbations of evolution inclusions of subdifferential type. Periodica Mathematica HungaricaCited by: 3.

Evolution inclusions with a Volterra-type operator. The goal of this section is to study a class of second order nonlinear evolution inclusions involving a Volterra-type integral operator. For this class we give a result on the existence and uniqueness of solutions to the Cauchy problem for the inclusion.

The proof consists of two main by: Nonconvex Evolution Inclusions Generated by Time-Dependent Subdifferential Operatorsp. BAHUGUNA, D. and GAREY, L.E. Uniqueness of Solutions to Integrodifferential and Functional Integro- differential Equationsp.

Time-dependent density-functional theory (TDDFT) describes the quantum dynamics of interacting electronic many-body systems formally exactly and in a practical and efficient manner. TDDFT has become the leading method for calculating excitation energies and optical properties of large molecules, with accuracies that rival traditional wave Cited by: Optimal control of a quasi-variational obstacle problem, (with M.

Ait-Mansour and M. Bergounioux), Journal of Golobal Optimization, Vol. 47, Number 3, pp (). Abstract Abstract: We consider an optimal control where the state-control relation is given by a quasi-variational inequality, namely a generalized obstacle problem. We give an.

Time-Dependent Density-Functional Theory Concepts and Applications Carsten Ullrich Oxford Graduate Texts. First, comprehensive, self contained textbook in the field of TDDFT, written by a leader in the field; The book has a strong emphasis on a pedagogical treatment, with many examples and exercises.

Time-dependent Density Functional Theory 3 a wealth of physical and chemical situations, including atoms, molecules, and solids, in arbitrary time-dependent electric or magnetic elds, scattering ex-periments, etc. In most of the situations dealt with in this article we will be concerned with the interaction between a laser and matter.

In [email protected]{osti_, title = {History-Dependent Problems with Applications to Contact Models for Elastic Beams}, author = {Bartosz, Krzysztof and Kalita, Piotr and Migórski, Stanisław and Ochal, Anna and Sofonea, Mircea}, abstractNote = {We prove an existence and uniqueness result for a class of subdifferential inclusions which involve a history-dependent operator.time-dependent observable of a many-electrons system is a unique Time Dependent Density Functional Theory Francesco Sottile.

Intro Formalism Results Resources The name of the game: TDDFT DFT TDDFT Hohenberg-Kohn theorem 2 The total energy functional has .