Del 1996 i serien Lecture Notes in Mathematics

Mutational Analysis

A Joint Framework for Cauchy Problems in and Beyond Vector Spaces

Häftad, Engelska, 2010

699 kr

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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.

Produktinformation

Utgivningsdatum2010-06-09
Mått155 x 235 x 27 mm
Vikt894 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor509
Upplaga2010
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642124709

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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)