Uniqueness of \(L^ 1\) solutions for the Laplace equation and the heat equation on Riemannian manifolds
Let M be a complete Riemannian manifold whose Ricci curvature has a negative quadratic lower bound. The author proves (i) \(L^ 1\)-uniqueness for solutions of the heat equation and (ii) any non-negative \(L^ 1\) subharmonic function is constant.
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