# 15019

## Автор(ов):

3

Параметры публикации

## Тип публикации:

Книга (брошюра, монография, стандарт)

## Название:

Estimates Of Heat Kernels For Non-Local Regular Dirichlet Forms

• Bielefeld

## Издательство:

• University of Bielefeld

2011

## Объём, стр.:

39
Аннотация
In this paper we present new heat kernel upper bounds for a certain class of non-local regular Dirichlet forms on metric measure spaces, including fractal spaces. We use a new purely analytic method where one of the main tools is the parabolic maximum principle. We deduce off-diagonal upper bound of the heat kernel from the on-diagonal one under the volume regularity hypothesis, restriction of the jump kernel and the survival hypothesis. As an application, we obtain two-sided estimates of heat kernels for non-local regular Dirichlet forms with finite effective resistance, including settings with the walk dimension greater than 2

## Библиографическая ссылка:

Григорьян А.А., Hu J., Lau K.-S. Estimates Of Heat Kernels For Non-Local Regular Dirichlet Forms. Bielefeld: University of Bielefeld, 2011. – 39 с.