روزنامه با شماره پیاپی سال 2003

34

1

34

We study the space-time Brownian motion and the heat equation in non-cylindrical domains. The paper is mostly devoted to singularities of the heat equation near rough points of the boundary. Two types of singularities are identified—heat atoms and heat singularities. A number of explicit geometric conditions are given for the existence of singularities. Other properties of the heat equation solutions are analyzed as well.

Journal of Functional Analysis

2003

Journal of Functional Analysis

709209