Relevant bibliographies by topics / C0-Semigroup

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'C0-Semigroup'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 March 2023

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Journal articles on the topic "C0-Semigroup"

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KANTOROVITZ, SHMUEL. "GENERATORS OF REGULAR SEMIGROUPS." Glasgow Mathematical Journal 50, no. 1 (2008): 47–53. http://dx.doi.org/10.1017/s0017089507003916.

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AbstractA regular semigroup (cf. [4, p. 38]) is a C0-semigroup T(⋅) that has an extension as a holomorphic semigroup W(⋅) in the right halfplane $\Bbb C^+$, such that ||W(⋅)|| is bounded in the ‘unit rectangle’ Q:=(0, 1]× [−1, 1]. The important basic facts about a regular semigroup T(⋅) are: (i) it possesses a boundary groupU(⋅), defined as the limit lims → 0+W(s+i⋅) in the strong operator topology; (ii) U(⋅) is a C0-group, whose generator is iA, where A denotes the generator of T(⋅); and (iii) W(s+it)=T(s)U(t) for all s+it ∈$\Bbb C^+$ (cf. Theorems 17.9.1 and 17.9.2 in [3]). The following con
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2

Navas, Andrés, and Sergio Plaza. "C0-continuity of the Fröbenius-Perron semigroup." International Journal of Mathematics and Mathematical Sciences 31, no. 5 (2002): 307–19. http://dx.doi.org/10.1155/s0161171202013364.

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We consider the Fröbenius-Perron semigroup of linear operators associated to a semidynamical system defined in a topological spaceXendowed with a finite or aσ-finite regular measure. We prove that if there exists afaithful invariant measurefor the semidynamical system, then the Fröbenius-Perron semigroup of linear operators isC0-continuous in the spaceLμ 1(X). We also give a geometrical condition which ensuresC0-continuity of the Fröbenius-Perron semigroup of linear operators in the spaceLμ p(X)for1≤p<∞, as well as in the spaceLloc 1.
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Acu, Ana Maria, and Ioan Raşa. "A C0-Semigroup of Ulam Unstable Operators." Symmetry 12, no. 11 (2020): 1844. http://dx.doi.org/10.3390/sym12111844.

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The Ulam stability of the composition of two Ulam stable operators has been investigated by several authors. Composition of operators is a key concept when speaking about C0-semigroups. Examples of C0-semigroups formed with Ulam stable operators are known. In this paper, we construct a C0-semigroup (Rt)t≥0 on C[0,1] such that for each t>0, Rt is Ulam unstable. Moreover, we compute the central moments of Rt and establish a Voronovskaja-type formula. This enables to prove that C2[0,1] is contained in the domain D(A) of the infinitesimal generator of the semigroup. We raise the problem to full
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Preda, Ciprian. "On the Roughness of Quasinilpotency Property of One-parameter Semigroups." Canadian Mathematical Bulletin 60, no. 2 (2017): 364–71. http://dx.doi.org/10.4153/cmb-2016-088-0.

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AbstractLet S := {S(t)}t≥0 be a C0-semigroup of quasinilpotent operators (i.e., σ(S(t)) = {0} for eacht> 0). In dynamical systems theory the above quasinilpotency property is equivalent to a very strong concept of stability for the solutions of autonomous systems. This concept is frequently called superstability and weakens the classical ûnite time extinction property (roughly speaking, disappearing solutions). We show that under some assumptions, the quasinilpotency, or equivalently, the superstability property of a C0-semigroup is preserved under the perturbations of its infinitesimal gen
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OKITALOSHIMA, ODIMBOLEKO, and JAN A. VAN CASTEREN. "ON THE UNIQUENESS OF THE MARTINGALE PROBLEM." International Journal of Mathematics 07, no. 06 (1996): 775–810. http://dx.doi.org/10.1142/s0129167x96000426.

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Let E be a second countable locally compact Hausdorff space and let L be a linear operator with domain D(L) and range R(L) in C0(E). Suppose that D(L) is dense in E and that the operator L possesses the Korovkin property or, more generally, the Stone property with respect to some large collection of continuous functions (cf. Definition 3.8). For every x∈E the martingale problem is well-posed if and only if there exists a unique extension of L that generates a Feller semigroup in C0(E). Next let L0 be the generator of a Feller semigroup in C0(E) and let L1 and T be linear operators with the fol
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TIKUISIS, AARON. "THE CUNTZ SEMIGROUP OF CONTINUOUS FUNCTIONS INTO CERTAIN SIMPLE C*-ALGEBRAS." International Journal of Mathematics 22, no. 08 (2011): 1051–87. http://dx.doi.org/10.1142/s0129167x11007136.

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This paper contains computations of the Cuntz semigroup of separable C*-algebras of the form C0(X, A), where A is a unital, simple, [Formula: see text]-stable ASH algebra. The computations describe the Cuntz semigroup in terms of Murray–von Neumann semigroups of C(K, A) for compact subsets K of X. In particular, the computation shows that the Elliott invariant is functorially equivalent to the invariant given by the Cuntz semigroup of C(𝕋, A). These results are a contribution towards the goal of using the Cuntz semigroup in the classification of well-behaved non-simple C*-algebras.
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Lu, Tianxiu, Anwar Waseem, and Xiao Tang. "Distributional Chaoticity of C0-Semigroup on a Frechet Space." Symmetry 11, no. 3 (2019): 345. http://dx.doi.org/10.3390/sym11030345.

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This paper is mainly concerned with distributional chaos and the principal measure of C 0 -semigroups on a Frechet space. New definitions of strong irregular (semi-irregular) vectors are given. It is proved that if C 0 -semigroup T has strong irregular vectors, then T is distributional chaos in a sequence, and the principal measure μ p ( T ) is 1. Moreover, T is distributional chaos equivalent to that operator T t is distributional chaos for every ∀ t > 0 .
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Conejero, Jose A., V. Müller, and A. Peris. "Hypercyclic behaviour of operators in a hypercyclic C0-semigroup." Journal of Functional Analysis 244, no. 1 (2007): 342–48. http://dx.doi.org/10.1016/j.jfa.2006.12.008.

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Tajmouati, Abdelaziz, Youness Zahouan, and Mohamed Ahmed Ould Mohamed Baba. "Spectral inclusions between C0-quasi-semigroups and their generators." Boletim da Sociedade Paranaense de Matemática 40 (January 23, 2022): 1–7. http://dx.doi.org/10.5269/bspm.45988.

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In this paper, we show a spectral inclusion of a dierent spectra of a C0-quasi-semigroup and its generator and precisely for ordinary, point, approximate point, residual, essential and regular spectra.
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Das, Sanjukta, Dwijendra N. Pandey, and N. Sukavanam. "Exact Controllability of an Impulsive Semilinear System with Deviated Argument in a Banach Space." Journal of Difference Equations 2014 (July 16, 2014): 1–6. http://dx.doi.org/10.1155/2014/461086.

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A functional differential equation with deviated argument coupled with impulsive conditions is studied for the existence and uniqueness of the mild solution and exact controllability of the system. The results are obtained by using Banach contraction principle and C0 semigroup theory without imposing additional assumptions such as analyticity and compactness conditions on the generated semigroup and the nonlinear term. An example is provided to illustrate the presented theory.
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Dissertations / Theses on the topic "C0-Semigroup"

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Stein, Martin. "C0-Semigroup Methods for Delay Equations." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1225964082538-00880.

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In der Dissertation werden Werkzeuge zur Analyse von Wohlgestelltheit und Asymptotik von Integro-Differential- und Verzögerungsgleichungen entwickelt. Im ersten Teil der Arbeit (Kapitel 1 und 2) werden Methoden zur Bestimmung der Modulhalbgruppe (kleinste dominierende C0-Halbgruppe) einer C0-Halbgruppe zur Verfügung gestellt, die unter anderem auf Volterra-Halbgruppen (die aus Integro-Differentialgleichungen hervorgehen) und Evolutionshalbgruppen (Rückkopplungsgleichungen mit Zeitverzögerung, Transport in Netzwerken) angewendet werden. Im Mittelpunkt des zweiten Teils (Kapitel 3 und 4) steht e
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Stein, Martin. "C0-Semigroup Methods for Delay Equations." Doctoral thesis, Technische Universität Dresden, 2007. https://tud.qucosa.de/id/qucosa%3A23902.

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In der Dissertation werden Werkzeuge zur Analyse von Wohlgestelltheit und Asymptotik von Integro-Differential- und Verzögerungsgleichungen entwickelt. Im ersten Teil der Arbeit (Kapitel 1 und 2) werden Methoden zur Bestimmung der Modulhalbgruppe (kleinste dominierende C0-Halbgruppe) einer C0-Halbgruppe zur Verfügung gestellt, die unter anderem auf Volterra-Halbgruppen (die aus Integro-Differentialgleichungen hervorgehen) und Evolutionshalbgruppen (Rückkopplungsgleichungen mit Zeitverzögerung, Transport in Netzwerken) angewendet werden. Im Mittelpunkt des zweiten Teils (Kapitel 3 und 4) steht e
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Schulze, Bert-Wolfgang, and Yuming Qin. "Uniform compact attractors for a nonlinear non-autonomous equation of viscoelasticity." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2989/.

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In this paper we establish the regularity, exponential stability of global (weak) solutions and existence of uniform compact attractors of semiprocesses, which are generated by the global solutions, of a two-parameter family of operators for the nonlinear 1-d non-autonomous viscoelasticity. We employ the properties of the analytic semigroup to show the compactness for the semiprocess generated by the global solutions.
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Stahn, Reinhard. "Quantified Tauberian Theorems and Applications to Decay of Waves." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2018. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-232101.

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The thesis consists of two parts, a theoretical part and an applied part, and in addition an Appendix. Except for a very short chapter in the applied part and the appendix we only present previously unknown results leading to a very concise style. In the theoretical part we study rates of decay for vector-valued functions and semigroups of operators depending on a real and positive variable. Under boundedness assumptions on the function/semigroup itself and under analytic extendability assumptions of its Laplace transform/resolvent across the imaginary axis we provide (almost) sharp rates of
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Issa, Ibtissam. "Some results on the stabilization of elastic/viscoelastic transmission problems with Kelvin-Voigt or fractional Kelvin-Voigt damping." Thesis, Aix-Marseille, 2021. http://theses.univ-amu.fr.lama.univ-amu.fr/211207_ISSA_690cu840ucxbzr880kpmyt859oe_TH.pdf.

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Cette thèse est consacrée à l'étude de la stabilisation de certains systèmes localement couplés. Tout d'abord, nous étudions la stabilité d'équations d'onde couplées unidimensionnelles avec deux amortissements visqueux intérieurs non lisses où nous établissons une stabilité exponentielle. Dans un second temps, nous étudions la stabilisation d'équations d'onde localement couplées avec un seul amortissement viscoélastique interne de type Kelvin-Voigt. L'amortissement et les coefficients de couplage ne sont pas lisses. En utilisant une approche spectrale, nous démontrons la stabilité non uniforme
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Cruz, Janisson Fernandes Dantas da. "Semigrupos, Automorficidade e Ergodicidade para equações de evolução semilineares." Universidade Federal de Sergipe, 2013. https://ri.ufs.br/handle/riufs/5823.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this work, we first develop a brief theoretical approach of semigroups of bounded linear operators, culminating on Hille-Yosida Theorem. Then we used the extrapolation theory to study su cient conditions to obtain existence and uniqueness of Almost Automorphic and Pseudo-Almost Automorphic mild solutions, through the Banach's Fixed Point Theorem for the semilinear evolution equation x(t) = Ax(t) + f(t; x(t)); t E R, where A : D(A) X ! X is a Hille-Yosida operator of negative type and not necessary dense domain o
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Barrachina, Civera Xavier. "Distributional chaos of C0-semigroups of operators." Doctoral thesis, Universitat Politècnica de València, 2013. http://hdl.handle.net/10251/28241.

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El caos distribucional fue introducido por Schweizer y Smítal en [SS94] a partir de la noción de caos de Li-Yorke con el fín de implicar la entropía topológica positiva para aplicaciones del intervalo compacto en sí mismo. El caos distribucional para operadores fue estudiado por primera vez en [Opr06] y fue analizado en el contexto lineal de dimensión infinita en [MGOP09]. El concepto de caos distribucional para un operador (semigrupo) consiste en la existencia de un conjunto no numerable y un numero real positivo ¿ tal que para dos elementos distintos cualesquiera del conjunto no numer
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Milica, Žigić. "Primene polugrupa operatora u nekim klasama Košijevih početnih problema." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2014. https://www.cris.uns.ac.rs/record.jsf?recordId=90322&source=NDLTD&language=en.

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Doktorska disertacija je posvećena primeni teorije polugrupa operatora na re&scaron;avanje dve klase Cauchy-jevih početnih problema. U prvom delu smoispitivali parabolične stohastičke parcijalne diferencijalne jednačine (SPDJ-ne), odredjene sa dva tipa operatora: linearnim zatvorenim operatorom kojigeneri&scaron;e <em>C</em><sub>0</sub>&minus;polugrupu i linearnim ograničenim operatorom kombinovanimsa Wick-ovim proizvodom. Svi stohastički procesi su dati Wiener-It&ocirc;-ovomhaos ekspanzijom. Dokazali smo postojanje i jedinstvenost re&scaron;enja ove klaseSPDJ-na. Posebno, posmatrali smo i sta
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9

Stein, Martin [Verfasser]. "C0-semigroup methods for delay equations / von Martin Stein." 2008. http://d-nb.info/992681073/34.

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10

Stahn, Reinhard. "Quantified Tauberian Theorems and Applications to Decay of Waves." Doctoral thesis, 2017. https://tud.qucosa.de/id/qucosa%3A30721.

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The thesis consists of two parts, a theoretical part and an applied part, and in addition an Appendix. Except for a very short chapter in the applied part and the appendix we only present previously unknown results leading to a very concise style. In the theoretical part we study rates of decay for vector-valued functions and semigroups of operators depending on a real and positive variable. Under boundedness assumptions on the function/semigroup itself and under analytic extendability assumptions of its Laplace transform/resolvent across the imaginary axis we provide (almost) sharp rates of
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Conference papers on the topic "C0-Semigroup"

1

KODZHA, MEHMED. "ON THE CAUCHY PROBLEM FOR THE STRONG DISPERSIVE NONLINEARWAVE EQUATION." In INTERNATIONAL SCIENTIFIC CONFERENCE MATHTECH 2022. Konstantin Preslavsky University Press, 2022. http://dx.doi.org/10.46687/gmkw7508.

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In this paper we consider the Cauchy problem for the strong dispersive nonlinear wave equation. We proof that the operator of the linearization arround the self-similar solutions generate C0-semigroup in Sobolev space Hs. Global existence is obtained via Banach fixed point theorem.
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