2015Proceedings of the American Mathematical SocietyOpen access

Gradient estimate for a nonlinear heat equation on Riemannian manifolds

Xinrong Jiang

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Abstract

In this paper, we derive a local Hamilton type gradient estimate for a nonlinear heat equation on Riemannian manifolds. As its application, we obtain a Liouville type theorem.

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In this paper, we derive a local Hamilton type gradient estimate for a nonlinear heat equation on Riemannian manifolds. As its application, we obtain a Liouville type theorem.

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OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we derive a local Hamilton type gradient estimate for a nonlinear heat equation on Riemannian manifolds. As its application, we obtain a Liouville type theorem.

Key concepts: Mathematics, Heat equation, Nonlinear system, Mathematical analysis, Type (biology), Riemannian geometry, Riemannian manifold, Global analysis

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