Digitale Medien
Chichester, West Sussex
:
Wiley-Blackwell
Mathematical Methods in the Applied Sciences
16 (1993), S. 545-554
ISSN:
0170-4214
Schlagwort(e):
Mathematics and Statistics
;
Applied Mathematics
Quelle:
Wiley InterScience Backfile Collection 1832-2000
Thema:
Mathematik
Notizen:
Motivated by the concept of maximum entropy methods in signal and image processing, we introduce and discuss a class of ‘directed diffusion equations’ with suitable boundary conditions. The paradigmatic ‘directed diffusion equation’ is The relative entropy \documentclass{article}\pagestyle{empty}\begin{document}$ Sb[f](t): = - \int_\Omega {f(t,x)} \;\ln \;(f(t,x)/b(x))dx $\end{document} is rapidly increasing along solution trajectories of (i). This suggests that solving (i) will yield efficient procedures for entropy maximization. We also discuss the asymptotic behavior of solutions of (i) - this is readily done because (i) has a large family of Ljapunov functionals.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1002/mma.1670160803
Permalink
| Bibliothek |
Standort |
Signatur |
Band/Heft/Jahr |
Verfügbarkeit |
