Construction of the fundamental solution of disturbed parabolic equation

DOI10.1016/S0007-4497(03)00006-XzbMath1029.58017MaRDI QIDQ1408441

Victor Bondarenko

Publication date: 15 September 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

curvature tensorRiemannian manifoldheat kernel

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Second-order parabolic equations (35K10)

Related Items (1)

Trotter-Daletskii formula for nonlinear disturbances

Cites Work

• Théoremes de comparaison en géométrie Riemannienne
• On the heat kernel of a complete Riemannian manifold
• The logarithmic gradient of the heat kernel on a Riemannian manifold.
• Parametrix method for a parabolic equation on a Riemannian manifold
• Diffusion sur une variété de courbure non positive
• q-Numbers of quantum groups, Fibonacci numbers, and orthogonal polynomials

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