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

Research output: Contribution to journalArticle

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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.

Original languageEnglish
Pages (from-to)2163-2173
Number of pages11
JournalProceedings of the American Mathematical Society
Volume129
Issue number7
Publication statusPublished - 2001

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Harnack Inequality
Adjoint Equation
Manifolds with Boundary
Neumann Boundary Conditions
Compact Manifold
Evolution Equation
Riemannian Manifold
Positive Solution
Boundary conditions
Theorem
Generalization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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A remark on the harnack inequality for non-self-adjoint evolution equations. / Chen, Roger R.-C.

In: Proceedings of the American Mathematical Society, Vol. 129, No. 7, 2001, p. 2163-2173.

Research output: Contribution to journalArticle

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