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

Roger Chen

doi:10.1090/s0002-9939-00-05799-3

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

Roger Chen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2163-2173
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	129
Issue number	7
DOIs	https://doi.org/10.1090/s0002-9939-00-05799-3
Publication status	Published - 2001

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/s0002-9939-00-05799-3

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

Abstract

All Science Journal Classification (ASJC) codes

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