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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,341 papers · 148 categories

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0111 · May 201519922001200920182026
3 results for Hamilton-Souplet-Zhang

Paper derives gradient estimates for porous medium equations on Riemannian manifolds.

problem Gradient estimates for porous medium equations on Riemannian manifolds.
method Employing cutoff functions and the maximum principle.
result Derives Hamilton-Souplet-Zhang type gradient estimates for porous medium type equations.

The paper provides gradient estimates for nonlinear parabolic equations under Ricci flow.

problem Gradient estimates for nonlinear parabolic equations under Ricci flow.
method Suitable scaling to obtain Hamilton-Souplet-Zhang type gradient estimates.
result Gradient estimates for two types of nonlinear parabolic equations under Ricci flow.

The paper improves gradient estimates for heat equations on Riemannian manifolds.

problem Gradient estimates for a general heat equation on Riemannian manifolds.
method Extends and improves existing results by studying a specific heat equation and applying Harnack and Liouville theorems.
result Gradient estimates of Hamilton-Souplet-Zhang type for the general heat equation on noncompact Riemannian manifolds.