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Weakly differentiable functions
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The article was published on 1989-01-03. It has received 2132 citations till now. The article focuses on the topics: Differentiable function.read more
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Controlled Markov processes and viscosity solutions
Wendell H. Fleming,H. Mete Soner +1 more
TL;DR: In this paper, an introduction to optimal stochastic control for continuous time Markov processes and to the theory of viscosity solutions is given, as well as a concise introduction to two-controller, zero-sum differential games.
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Image recovery via total variation minimization and related problems
TL;DR: A variant of the original TV minimization problem that handles correctly some situations where TV fails is proposed, and an alternative approach whose purpose is to handle the minimization of the minimum of several convex functionals is proposed.
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Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing
TL;DR: In this paper, the authors proposed simple and extremely efficient methods for solving the basis pursuit problem, which is used in compressed sensing, using Bregman iterative regularization, and they gave a very accurate solution after solving only a very small number of instances of the unconstrained problem.
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Filling-in by joint interpolation of vector fields and gray levels
TL;DR: A variational approach for filling-in regions ofMissing data in digital images is introduced, based on joint interpolation of the image gray levels and gradient/isophotes directions, smoothly extending in an automatic fashion the isophote lines into the holes of missing data.
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A Theorem on Geometric Rigidity and the Derivation of Nonlinear Plate Theory from Three-Dimensional Elasticity
TL;DR: The energy functional of nonlinear plate theory is a curvature functional for surfaces rst proposed on physical grounds by G. Kirchhoff in 1850 as mentioned in this paper, and it arises as a 0-limit of three-dimensional nonlinear elasticity theory as the thickness of a plate goes to zero.