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

DOI10.1090/S0002-9939-00-05799-3zbMath0969.58008OpenAlexW1606747791WikidataQ125772468 ScholiaQ125772468MaRDI QIDQ2718985

Roger Chen

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05799-3

zbMATH Keywords

Harnack inequalityevolution equationRiemannian manifoldDirichlet boundary conditionNeumann boundary conditioninterior rolling \(R\)-ball

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

Free boundary minimal hypersurfaces outside of the ball

Cites Work

• On the parabolic kernel of the Schrödinger operator
• Global heat kernel estimates
• Harnack inequality for non-self-adjoint evolution equations
• On Harnack's theorem for elliptic differential equations
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• Neumann Eigenvalue Estimate on a Compact Riemannian Manifold
• Extension of the Rauch Comparison Theorem to Submanifolds
• A harnack inequality for parabolic differential equations

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