Mutational Analysis / Lecture Notes in Mathematics Bd.1996 (PDF)
A Joint Framework for Cauchy Problems in and Beyond Vector Spaces
(Sprache: Englisch)
Ordinary differential equations play a central role in science and have been extended to evolution equations in Banach spaces. For many applications, however, it is difficult to specify a suitable normed vector space. Shapes without a priori restrictions,...
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Ordinary differential equations play a central role in science and have been extended to evolution equations in Banach spaces. For many applications, however, it is difficult to specify a suitable normed vector space. Shapes without a priori restrictions, for example, do not have an obvious linear structure.
This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals.
Here are some of the examples:
- Feedback evolutions of compact subsets of the Euclidean space
- Birth-and-growth processes of random sets (not necessarily convex)
- Semilinear evolution equations
- Nonlocal parabolic differential equations
- Nonlinear transport equations for Radon measures
- A structured population model
- Stochastic differential equations with nonlocal sample dependence and how they can be coupled in systems immediately - due to the joint framework of Mutational Analysis. Finally, the book offers new tools for modelling.
This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals.
Here are some of the examples:
- Feedback evolutions of compact subsets of the Euclidean space
- Birth-and-growth processes of random sets (not necessarily convex)
- Semilinear evolution equations
- Nonlocal parabolic differential equations
- Nonlinear transport equations for Radon measures
- A structured population model
- Stochastic differential equations with nonlocal sample dependence and how they can be coupled in systems immediately - due to the joint framework of Mutational Analysis. Finally, the book offers new tools for modelling.
Bibliographische Angaben
- Autor: Thomas Lorenz
- 2010, 2010, 509 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3642124712
- ISBN-13: 9783642124716
- Erscheinungsdatum: 29.05.2010
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 6.15 MB
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Englisch
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Pressezitat
From the reviews:“This monograph contains bibliographical notes, references, index of notations and index. In short the entire monograph is written clearly … . This monograph is suitable for graduate students and researchers in this field.” (Seenith Sivasundaram, Zentralblatt MATH, Vol. 1198, 2010)
“The book Mutational analysis by Thomas Lorenz is a tour de force for a young mathematician working in a new field. It is indeed an excellent, innovative and highly technical book of over 500 pages, clearly and carefully written … . this excellent book is a basic, original and very useful monograph for the development of mutational analysis both in control theory and partial differential equations.” (Jean-Pierre Aubin, Mathematical Reviews, Issue 2011 h)
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