A remark on the Harnack inequality for non-self-adjoint evolution equations

Chen, Roger

doi:10.1090/S0002-9939-00-05799-3

A remark on the Harnack inequality for non-self-adjoint evolution equations
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Proc. Amer. Math. Soc. 129 (2001), 2163-2173 Request permission

Abstract:

In this paper we consider a non-self-adjoint evolution equation on a compact Riemannian manifold with boundary. We prove a Harnack inequality for a positive solution satisfying the Neumann boundary condition. In particular, the boundary of the manifold may be nonconvex and this gives a generalization to a theorem of Yau.

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