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Introduction to Heat Potential Theory
About this Title
Neil A. Watson, University of Canterbury, Christchurch, New Zealand
Publication: Mathematical Surveys and Monographs
Publication Year:
2012; Volume 182
ISBNs: 978-0-8218-4998-9 (print); 978-0-8218-8792-9 (online)
DOI: https://doi.org/10.1090/surv/182
MathSciNet review: 2907452
MSC: Primary 31-02; Secondary 31B35, 35K05, 35K08
Table of Contents
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Front/Back Matter
Chapters
- 1. The heat operator, temperatures and mean values
- 2. The Poisson integral for a circular cylinder
- 3. Subtemperatures and the Dirichlet problem on convex domains of revolution
- 4. Temperatures on an infinite strip
- 5. Classes of subtemperatures on an infinite strip
- 6. Green functions and heat potentials
- 7. Polar sets and thermal capacity
- 8. The Dirichlet problem on arbitrary open sets
- 9. The thermal fine topology