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Mutational Analysis

A Joint Framework for Cauchy Problems in and Beyond Vector Spaces

Häftad, Engelska, 2010

AvThomas Lorenz

709 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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