Research profile
Works on heat kernel, eigenvalues & spectrum and boundaries & non-compact.
NP-RC-8718110000-0002-9487-6120
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We develop heat kernel and Green's function estimates for manifolds with positive bottom spectrum. The results are then used to establish existence and sharp estimates of the solution to the Poisson equation on such manifolds with Ricci curvature bounded below. As an application, we show that the curvature of a steady gradient Ricci soliton must decay exponentially if it decays faster than linear and the potential function is bounded above.
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NP-RC-871811 is Chiung-Jue Anna Sung's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
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