Convergence of One-Parameter Operator Semigroups: In Models of Mathematical Biology and Elsewhere

Adam Bobrowski

ISBN 10: 1107137438 / ISBN 13: 9781107137431

Published by Cambridge University Press, 2016

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Bibliographic Details

• Title: Convergence of One-Parameter Operator Semigroups: In Models of Mathematical Biology and Elsewhere
• Publisher: Cambridge University Press
• Publication Date: 2016
• Language: English
• ISBN 10: 1107137438
• ISBN 13: 9781107137431
• Binding: Hardback
• Condition: New
• Weight: 992 grams

About this title

Synopsis

This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the case, for example, with singular perturbations). The author demonstrates the far-reaching applications of this theory using real examples from various branches of pure and applied mathematics, with a particular emphasis on mathematical biology. The book may serve as a useful reference, containing a significant number of new results ranging from the analysis of fish populations to signaling pathways in living cells. It comprises many short chapters, which allows readers to pick and choose those topics most relevant to them, and it contains 160 end-of-chapter exercises so that readers can test their understanding of the material as they go along.

About the Author

Adam Bobrowski is a professor and Chairman of the Department of Mathematics at Lublin University of Technology, Poland. He has authored over 50 scientific papers and two books, Functional Analysis for Probability and Stochastic Processes and An Operator Semigroup in Mathematical Genetics.