๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Averaging for Fundamental Solutions of Parabolic Equations

โœ Scribed by Michael A. Kouritzin


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
529 KB
Volume
136
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

โœฆ Synopsis


Herein, an averaging theory for the solutions to Cauchy initial value problems of arbitrary order, =-dependent parabolic partial differential equations is developed. Indeed, by directly developing bounds between the derivatives of the fundamental solution to such an equation and derivatives of the fundamental solution of an ``averaged'' parabolic equation, we bring forth a novel approach to comparing x-derivatives of


๐Ÿ“œ SIMILAR VOLUMES


Martin Boundaries of Elliptic Skew Produ
โœ Minoru Murata ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 687 KB

We consider positive solutions of elliptic partial differential equations on noncompact domains of Riemannian manifolds. We explicitly determine Martin boundaries and Martin kernels for a class of elliptic equations in skew product form by exploiting and developing perturbation theory for elliptic e