13 citations · 27 across the 13 of their papers we have counts for
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Gradient estimation of a generalized non-linear heat type equation along Super-Perelman Ricci flow on weighted Riemannian manifolds
Yanlin Li, Abimbola Abolarinwa, Suraj Ghosh +1
In this article we derive gradient estimation for positive solution of the equation \begin{equation*} (\partial_t-Δ_f)u = A(u)p(x,t) + B(u)q(x,t) + \mathcal{G}(u) \end{equation*} o…
Basic structural equations for almost Ricci-harmonic solitons and applications
Abimbola Abolarinwa
This paper studies gradient almost Ricci-harmonic soliton with respect to a fixed metric. We rely on analytic techniques to estabilish some basic elliptic and integral equations fo…
Elliptic gradient estimates and Liouville theorems for a weighted nonlinear parabolic equation
Abimbola Abolarinwa
Let be a complete smooth metric measure space with -Bakry-Émery Ricci tensor bounded from below. We derive elliptic gradient estimates for positive sol…
The first eigenvalue of the -Laplacian on time dependent Riemannian metrics
Abimbola Abolarinwa, Jing Mao
Let be an -dimensional compact Riemannian manifold () whose metric evolves by the generalized abstract geometric flow. This paper discusses the evolution, mo…
Eigenvalues of Weighted-Laplacian under the extended Ricci flow
Abimbola Abolarinwa
Let be a symmetric diffusion operator with an invariant weighted volume measure on an -dimensional compact Riemannian manifold , w…
Gradient estimates for a nonlinear parabolic equation with potential under geometric flow
Abimbola Abolarinwa
Let be an dimensional complete Riemannian manifold. In this paper we prove local Li-Yau type gradient estimates for all positive solutions to the following nonlinear parab…
Differential Harnack estimates for conjugate heat equation under the Ricci flow
Abimbola Abolarinwa
We prove certain localized and global differential Harnack inequality for all positive solutions to the geometric conjugate heat equation coupled to the forward in time Ricci flow.…