Short time asymptotics for fundamental solutions of diffusion equations

Nobuyuki Ikeda, Shigeo Kusuoka

Type: Book-Chapter

Publication Date: 1988-01-01

Citations: 8

DOI: https://doi.org/10.1007/bfb0077865

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Lecture notes in mathematics - View

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+	Short time asymptotic problems in Wiener functional integration theory. Applications to heat kernels and index theorems	1990	Shinzo Watanabe
+	Gaussian bounds for the Dirichlet heat kernel	1990	M. van den Berg
+	Probabilistic methods in the study of asymptotics	1990	N. Ikeda
+	Laplace Dirichlet heat kernels in convex domains	2021	Grzegorz Serafin
+ PDF Chat	Feeling boundary by Brownian motion in a ball	2021	Grzegorz Serafin
+	A probabilistic proof of the Gauss-Bonnet-Chern theorem for manifolds with boundary	1989	Ichirō Shigekawa Naomasa Ueki Shinzo Watanabe
+	Diffraction par un Convexe	1994	Thierry Hargé Gilles Lebeau

Works Cited by This (7)

Action	Title	Year	Authors
+	Implicit Functions in Finite Corank on the Wiener Space	1984	Paul Malliavin
+	On the Asymptotic Behavior of the Fundamental Solution of the Heat Equation on Certain Manifolds	1984	Nobuyuki Ikeda
+	Short-Time Asymptotics of the Heat Kernel on a Concave Bboundary	1989	Pei Hsu
+	Isolated singularities of solutions of second order parabolic equations	1965	D. G. Aronson
+	DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY	1975	Stanislav Molchanov
+	On the behavior of the fundamental solution of the heat equation with variable coefficients	1967	S. R. S. Varadhan
+	Continuum Integrals and the Asymptotic Behavior of the Solutions of Parabolic Equations as t→0. Applications to Diffraction	1968	V. S. Buslaev