✦ LIBER ✦
Martin Boundaries of Elliptic Skew Products, Semismall Perturbations, and Fundamental Solutions of Parabolic Equations
✍ Scribed by Minoru Murata
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 687 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
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 equations and short/long-time estimates for fundamental solutions of parabolic equations. # 2002 Elsevier Science (USA)