AbstractLet M be a compact Riemannian manifold with a smooth C∞ boundary ∂M. Suppose M has initial temperature 1 at time t = 0 and suppose that ∂M is kept at temperature 0 for all t > 0. We study the asymptotic behavior of the amount of heat in M as t → 0+. We generalize these results to arbitrary operators of Laplace type with Dirichlet boundary conditions and to arbitrary smooth initial conditions
Heat content asymptotics with transmittal and transmission boundary conditions b
AbstractLet K be a compact subset in Euclidean space Rm, and let EK(t) denote the total amount of he...
AbstractUpper bounds are obtained for the heat content of an open set D in a complete Riemannian man...
AbstractLet M be a compact Riemannian manifold with a smooth C∞ boundary ∂M. Suppose M has initial t...
The heat content asymptotics on a Riemannian manifold with smoooth boundary defined by Dirichlet, Ne...
Abstract. We survey some recent results concerning the heat energy content of a Riemannian manifold ...
AbstractUpper bounds are obtained for the heat content of an open set D with singular initial condit...
44 pagesThe relative heat content associated with a subset $\Omega\subset M$ of a sub-Riemannian man...
44 pagesThe relative heat content associated with a subset $\Omega\subset M$ of a sub-Riemannian man...
AbstractWe study the heat content asymptotics with either Dirichlet or Robin boundary conditions whe...
AbstractLet M be a complete Riemannian manifold and D⊂M a smoothly bounded domain with compact closu...
We consider the entropy of the solution to the heat equation on a Riemannian manifold. When the mani...
International audienceWe study the small-time asymptotics of the heat content of smooth non-characte...
We study the heat trace for both Schrodinger operators as well as the drifting Laplacian on compact ...
Let M be a smooth connected non-compact geodesically complete Riemannian manifold, ? denote the Lapl...
Heat content asymptotics with transmittal and transmission boundary conditions b
AbstractLet K be a compact subset in Euclidean space Rm, and let EK(t) denote the total amount of he...
AbstractUpper bounds are obtained for the heat content of an open set D in a complete Riemannian man...
AbstractLet M be a compact Riemannian manifold with a smooth C∞ boundary ∂M. Suppose M has initial t...
The heat content asymptotics on a Riemannian manifold with smoooth boundary defined by Dirichlet, Ne...
Abstract. We survey some recent results concerning the heat energy content of a Riemannian manifold ...
AbstractUpper bounds are obtained for the heat content of an open set D with singular initial condit...
44 pagesThe relative heat content associated with a subset $\Omega\subset M$ of a sub-Riemannian man...
44 pagesThe relative heat content associated with a subset $\Omega\subset M$ of a sub-Riemannian man...
AbstractWe study the heat content asymptotics with either Dirichlet or Robin boundary conditions whe...
AbstractLet M be a complete Riemannian manifold and D⊂M a smoothly bounded domain with compact closu...
We consider the entropy of the solution to the heat equation on a Riemannian manifold. When the mani...
International audienceWe study the small-time asymptotics of the heat content of smooth non-characte...
We study the heat trace for both Schrodinger operators as well as the drifting Laplacian on compact ...
Let M be a smooth connected non-compact geodesically complete Riemannian manifold, ? denote the Lapl...
Heat content asymptotics with transmittal and transmission boundary conditions b
AbstractLet K be a compact subset in Euclidean space Rm, and let EK(t) denote the total amount of he...
AbstractUpper bounds are obtained for the heat content of an open set D in a complete Riemannian man...
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