Explicit definition of an exact measure for the semiflow of a first order partial differential equation

Pavol Brunovský; Jozef Komorník

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Annales de la faculté des sciences de Toulouse Mathématiques

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We study points of density $1 / 2$ of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this class of points. Here density $1 / 2$ is formulated in terms of the pointwise behaviour of the Ornstein-Uhlembeck semigroup.

Projecting the surface measure of the sphere of $ℓ_{p}^{n}$

Assaf Naor, Dan Romik (2003)

Annales de l'I.H.P. Probabilités et statistiques

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On the continuity of heat potentials

Miroslav Dont (1981)

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Some remarks on isoperimetry of gaussian type

F. Barthe, B. Maurey (2000)

Annales de l'I.H.P. Probabilités et statistiques

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Displaying similar documents to “Explicit definition of an exact measure for the semiflow of a first order partial differential equation”

Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces

Projecting the surface measure of the sphere of ℓ p n

On the continuity of heat potentials

Some remarks on isoperimetry of gaussian type

Projecting the surface measure of the sphere of $ℓ_{p}^{n}$