6372

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Heat Kernels on Metric Spaces With Doubling Measure

ISBN/ISSN: 

978-3-0346-0029-3

Наименование источника: 

  • Springer Lecture Notes in Computer Science

Обозначение и номер тома: 

Vol. 61

Город: 

  • Basel

Издательство: 

  • Springer

Год издания: 

2009

Страницы: 

3-44
Аннотация
In this survey we discuss heat kernel estimates of self-similar type on metric spaces with doubling measures. We characterize the tail functions from heat kernel estimates in both non-local and local cases. In the local case we also specify the domain of the energy form as a certain Besov space, and identify the walk dimension in terms of the critical Besov exponent. The techniques used include self-improvement of heat kernel upper bound and the maximum principle for weak solutions. All proofs are completely analytic

Библиографическая ссылка: 

Григорьян А.А. Heat Kernels on Metric Spaces With Doubling Measure // Springer Lecture Notes in Computer Science. 2009. Vol. 61. С. 3-44.