  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 coefficients in inner uniform domains in $\mathbb R^n$.
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.
