Approximation and relaxation of perimeter in the Wiener space

For more info about our services contact : help@bestpfe.com

Table of contents

1 Introduction 
2 Continuous Primal-Dual methods for Image Processing 
2.1 Introduction
2.1.1 Presentation of the problem
2.1.2 Idea of the Primal-Dual method
2.2 Maximal Monotone Operators
2.2.1 Definitions and first properties of maximal monotone operators
2.2.2 Application to Arrow-Hurwicz methods
2.3 Study of the Primal-Dual Method
2.4 Numerical Experiments
2.4.1 The numerical scheme
2.4.2 The experiments
2.5 Conclusion and perspectives
3 Volume-constrained minimizers for the prescribed curvature problem in periodic media 
3.1 Introduction
3.2 Existence of minimizers
3.3 Properties of the isovolumetric function
3.4 Existence of surfaces with prescribed mean curvature
3.4.1 Compact solutions with big volume.
3.4.2 Asymptotic behavior of minimizers.
3.5 Conclusion and perspectives
4 Approximation and relaxation of perimeter in the Wiener space 
4.1 Introduction
4.2 Wiener space and functions of bounded variation
4.3 The Ehrhard symmetrization
4.4 Relaxation of perimeter
4.5 ¡-limit for the Modica-Mortola functional
4.6 Conclusion and perspectives
5 Convex minimizers for infinite dimensional variational problems
5.1 Introduction
5.2 Representation formula and relaxation of integral functionals
5.3 The finite dimensional case
5.4 The infinite dimensional case
5.5 A Geometric proof for the total variation in Gauss space
5.5.1 Convexity of the minimizer
5.6 Conclusion and perspectives
Bibliographie