Averaging for Fundamental Solutions of Parabolic Equations
โ Scribed by Michael A. Kouritzin
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 529 KB
- Volume
- 136
- Category
- Article
- ISSN
- 0022-0396
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โฆ 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
๐ SIMILAR VOLUMES
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