Some heat operators on $\mathbb {P}(\mathbb {R}^d)$

H. Airault; P. Malliavin

Displaying similar documents to “Some heat operators on $ℙ (ℝ^{d})$ ”

Heat kernel upper bounds on a complete non-compact manifold.

Alexander Grigor'yan (1994)

Revista Matemática Iberoamericana

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Let M be a smooth connected non-compact geodesically complete Riemannian manifold, Δ denote the Laplace operator associated with the Riemannian metric, n ≥ 2 be the dimension of M. Consider the heat equation on the manifold u_t - Δu = 0, where u = u(x,t), x ∈ M, t > 0. The heat kernel p(x,y,t) is by definition the smallest positive fundamental solution to the heat equation which exists on any manifold (see [Ch],...