Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces PDF
by Thomas Lorenz
Part of the Lecture Notes in Mathematics series
Description
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.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:29/05/2010
- Category:
- ISBN:9783642124716
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:29/05/2010
- Category:
- ISBN:9783642124716
