Hikaru Yamamoto

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20112026

most citedRicci-mean curvature flows in gradient shrinking Ricci solitons

10 citations · 43 across the 19 of their papers we have counts for

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2 papers · 1 filter

math.AP2022

Solvability of a semilinear heat equation on Riemannian manifolds

Jin Takahashi, Hikaru Yamamoto

We study the solvability of the initial value problem for the semilinear heat equation $u_{t} - Δ u = u^{p}$ in a Riemannian manifold $M$ with a nonnegative Radon measure $μ$ on $M$ as init…

math.AP2017★ 1 cited

Solutions with time-dependent singular sets for the heat equation with absorption

Jin Takahashi, Hikaru Yamamoto

We consider the heat equation with a superlinear absorption term $\partial_{t} u - Δ u = - u^{p}$ in $R^{n}$ and study the existence and nonexistence of nonnegative solutions wit…