Peripheral Spectra of Perturbed Positive Semigroups : Applications to Transport Theory and Related Fields / by Mustapha Mokhtar-Kharroubi

Von:

Mokhtar-Kharroubi, Mustapha [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Lecture Notes in Mathematics ; 2388Verlag: Cham : Springer Nature Switzerland, 2026Verlag: Cham : Imprint: Springer, 2026Auflage: 1st ed. 2026Beschreibung: 1 Online-Ressource(XVIII, 498 p. 2 illus.)ISBN:

9783032111739

Schlagwörter:

Andere physische Formen: 9783032111722 | 9783032111746 | Erscheint auch als: Peripheral spectra of perturbed positive semigroups. Druck-Ausgabe Cham : Springer Nature, 2026 | Erscheint auch als: 9783032111746 Druck-AusgabeDDC-Klassifikation:

515.724 23

DOI: DOI: 10.1007/978-3-032-11173-9Online-Ressourcen:

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Zusammenfassung: Chapter 1. Introduction -- Chapter 2. Mathematical Toolbox -- Chapter 3. Time asymptotics of Kato-Voigt semigroups -- Chapter 4. Spectral analysis of Desch semigroups -- Chapter 5. Spectral analysis of absorption semigroups -- Chapter 6. On jump semigroups in L1(v) -- Chapter 7. Detailed balance and Hilbert space theory -- Chapter 8. Perturbed Frobenius-Perron semigroups -- Chapter 9. Jump semigroups on countable state spaces -- Chapter 10. Transport Theory -- Chapter 11. Mathematical Population Dynamics -- Chapter 12. Linearized non local Allen-Cahn equations -- Chapter 13. Spectra of perturbed convolution semigroups -- Chapter 14. Miscellaneous.Zusammenfassung: This monograph provides new functional analytic developments on spectral problems in various applied fields such as jump equations, Kolmogorov differential equations, weighted graphs, neutron transport theory, population dynamics, linearized non-local Allen–Cahn equations and perturbed convolution semigroups. With an emphasis on spectral problems (in Lebesgue spaces) connected to positivity, it uses powerful tools developed over the last two decades to unify and extend established results in various directions, offering new perspectives in a diverse range of subjects. Many open questions are scattered throughout, in the hope of promoting further research. Covering topics lying at the intersection between functional analysis and partial differential equations, the book is primarily targeted toward applied mathematicians working in kinetic theory, probability theory, mathematical biology and, more generally, partial differential equations, who are interested in peripheral spectral theory. It may also draw pure mathematicians working in semigroup theory towards very rich applied areas. Although mainly aimed at professional mathematicians, it will also be useful to PhD students and post-doctoral researchers. The long chapter devoted to transport theory will be of interest to physicists or engineers involved in neutron transport.PPN: PPN: 1961265540Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS | ZDB-2-LNM

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