Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability

DOI10.3934/dcds.2010.28.591zbMath1196.28023OpenAlexW2084024723MaRDI QIDQ983453

Luigi Ambrosio, Michele~jun. Miranda, Pallara, Diego

Publication date: 23 July 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.28.591

zbMATH Keywords

Wiener spacesrectifiabilitysets with finite perimeter

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) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Hausdorff and packing measures (28A78) Calculus of functions on infinite-dimensional spaces (26E15)

Related Items (11)

Perimeter of sublevel sets in infinite dimensional spaces ⋮ On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces ⋮ Maximal Sobolev regularity for solutions of elliptic equations in Banach spaces endowed with a weighted Gaussian measure: the convex subset case ⋮ Representation, relaxation and convexity for variational problems in Wiener spaces ⋮ Approximation and relaxation of perimeter in the Wiener space ⋮ Traces of Sobolev functions on regular surfaces in infinite dimensions ⋮ Some fine properties of BV functions on Wiener spaces ⋮ Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces ⋮ Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions ⋮ On integration by parts formula on open convex sets in Wiener spaces ⋮ \textit{BV} functions on convex domains in Wiener spaces

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