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Gradient estimates for a simple nonlinear heat equation on manifolds
nonlinear heat equation gradient estimate
2010/11/29
In this paper, we study the gradient estimate for positive solutions to the following nonlinear heat equation problem ut − u = au log u + V u, u > 0 on the compact Riemannian manifold (M, g) of...
Hamilton type estimates for heat equations on manifolds
drifting Laplacian nonlinear heat equation gradient estimate
2010/11/29
In this paper, we study the gradient estimates of Hamilton type for positive solutions to both drifting heat equation and the simple nonlinear heat equation problem ut − u = au log u, u > 0 on ...
Airy-heat functions, Hermite and higher order Hermite generating functions
Airy-heat functions Hermite higher order Hermite generating functions
2010/11/30
In this note we discuss the relationship between the generating functions of some Hermite polynomials H.
Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds
Heat kernel estimates $\bar\partial$-Neumann problem $G$-manifolds
2010/12/13
We prove heat kernel estimates for the ¯@-Neumann Laplacian acting in spaces of differential forms over noncompact manifolds with a Lie group symmetry and compact quotient. We
also relate our ...