کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590127 1334936 2014 47 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Dirichlet heat kernel in inner uniform domains: Local results, compact domains and non-symmetric forms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The Dirichlet heat kernel in inner uniform domains: Local results, compact domains and non-symmetric forms
چکیده انگلیسی

This paper provides sharp Dirichlet heat kernel estimates in inner uniform domains, including bounded inner uniform domains, in the context of certain (possibly non-symmetric) bilinear forms resembling Dirichlet forms. For instance, the results apply to the Dirichlet heat kernel associated with a uniformly elliptic divergence form operator with symmetric second order part and bounded measurable real coefficients in inner uniform domains in RnRn. The results are applicable to any convex domain, to the complement of any convex domain, and to more exotic examples such as the interior and exterior of the snowflake.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 266, Issue 7, 1 April 2014, Pages 4189–4235
نویسندگان
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