Mutational Analysis
Lorenz, Thomas
Produktnummer:
184ec1fc61aa4740099e2e52d630e70c91
| Autor: | Lorenz, Thomas |
|---|---|
| Themengebiete: | Differential equations (ordinary Distribution Evolution equations Nonsmooth analysis Set-valued dynamics Well-posed initial value problems calculus differential equation generalized) partial |
| Veröffentlichungsdatum: | 09.06.2010 |
| EAN: | 9783642124709 |
| Sprache: | Englisch |
| Seitenzahl: | 509 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Untertitel: | A Joint Framework for Cauchy Problems in and Beyond Vector Spaces |
Produktinformationen "Mutational Analysis"
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.
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