Semigroups of Operators – Theory and Applications : SOTA, Kazimierz Dolny, Poland, September/October 2018. 1st ed. 2020

種類:

電子ブック

責任表示:

edited by Jacek Banasiak, Adam Bobrowski, Mirosław Lachowicz, Yuri Tomilov

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Banasiak, Jacek.
• Bobrowski, Adam.
• Lachowicz, Mirosław.
• Tomilov, Yuri.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 325

ISBN:

9783030460792 [3030460797]    

注記:

Preface -- Part I, 85th Birthday Lecture: J. Kisyński, Topologies in the Set of Rapidly Decreasing Distributions -- Part II, Theory: Y. A. Butko, The method of Chernoff approximation -- A. Hussein and Delio Mugnolo, Laplacians with point interactions – expected and unexpected spectral properties -- S. Kosowicz, Remarks on characterization of generators of bounded C0-semigroups -- S. Trostorff , Semigroups associated with differential-algebraic equations -- S. A. Zagrebina and N. N. Solovyova, Positive degenerate holomorphic groups of the operators and their applications -- Part III, Applications: B. Andreianov and M. D. Rosini, Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic -- A. Bartłomiejczyk and M. Wrzosek, Newton’s method for the McKendrick-von Foerster equation -- M. Bongarti, S. Charoenphon and I. Lasiecka, Singular thermal relaxation limit for the Moore-Gibson-Thompson equation arising in propagation of acoustic waves -- R. Bro
This book features selected and peer-reviewed lectures presented at the 3rd Semigroups of Operators: Theory and Applications Conference, held in Kazimierz Dolny, Poland, in October 2018 to mark the 85th birthday of Jan Kisyński. Held every five years, the conference offers a forum for mathematicians using semigroup theory to discover what is happening outside their particular field of research and helps establish new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The book is intended for researchers, postgraduate and senior students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimisation and optimal control. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while Hille and Yosida’s fundamental generation theorem dates

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