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<title>Suraj Ghosh — Neckpinch</title><link>https://neckpinch.com/authors/suraj-ghosh/</link><description>New arXiv papers by Suraj Ghosh, from Neckpinch</description>
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<item><title>Gradient estimation of a generalized non-linear heat type equation along Super-Perelman Ricci flow on weighted Riemannian manifolds</title><link>https://neckpinch.com/papers/2404.15705/</link><guid isPermaLink="false">arxiv:2404.15705</guid><pubDate>Wed, 24 Apr 2024 00:00:00 GMT</pubDate><description>Yanlin Li, Abimbola Abolarinwa, Suraj Ghosh, Shyamal Kumar Hui — In this article we derive gradient estimation for positive solution of the equation \beginequation* (\partial_t-Δ_f)u = A(u)p(x,t) + B(u)q(x,t) + \mathcalG(u) \endequation* on a weighted Riemannian manifold evolving along the (k,m) super Perelman-Ricci flow \beginequation* \frac{\partial g}{\partial t}(x,t)+2Ric_f^m(g)(x,t)\ge -2kg(x,t). \endequation* As an application of gradient estimation we derive a Harnack type inequality along with a Liouville type theorem.</description><category>Ricci flow</category><category>Harnack inequalities</category></item>
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