Perimeter of sublevel sets in infinite dimensional spaces

DOI10.1515/acv.2011.010zbMath1257.49006arXiv1102.3860OpenAlexW2962906958MaRDI QIDQ2883326

Alessandra Lunardi, Michele~jun. Miranda, Matteo Novaga, Vincent Caselles

Publication date: 8 May 2012

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3860

zbMATH Keywords

convex setsabstract Wiener spacesperimeter

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Stochastic calculus of variations and the Malliavin calculus (60H07) Existence theories for problems in abstract spaces (49J27)

Related Items (13)

Maximal \(L^{2}\) regularity for Ornstein-Uhlenbeck equation in convex sets of Banach spaces ⋮ Surface measures generated by differentiable measures ⋮ BV functions in Hilbert spaces ⋮ Classes of functions of bounded variation on infinite-dimensional domains ⋮ Approximation and relaxation of perimeter in the Wiener space ⋮ Surface measures in infinite dimension ⋮ Some fine properties of BV functions on Wiener spaces ⋮ Sobolev functions on infinite-dimensional domains ⋮ On the law of the minimum in a class of unidimensional SDEs ⋮ On Skorokhod differentiable measures ⋮ A fractional isoperimetric problem in the Wiener space ⋮ On integration by parts formula on open convex sets in Wiener spaces ⋮ \textit{BV} functions on convex domains in Wiener spaces

Cites Work

• Hausdorff measures on the Wiener space.
• Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space
• Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability
• BV functions in abstract Wiener spaces
• On the lower tail of Gaussian seminorms
• Properties of the set of positivity for the density of a regular Wiener functional
• BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
• Gaussian Measure of Translated Balls in a Banach Space
• Sur l’intégrabilité des vecteurs gaussiens
• On the space of BV functions and a related stochastic calculus in infinite dimensions

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