Regularization by sup-inf convolutions on Riemannian manifolds: an extension of Lasry-Lions theorem to manifolds of bounded curvature
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Publication:472310
DOI10.1016/j.jmaa.2014.10.022zbMath1303.53049arXiv1401.5053OpenAlexW2964167575WikidataQ115346058 ScholiaQ115346058MaRDI QIDQ472310
Publication date: 19 November 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.5053
Riemannian manifoldapproximationdistance function\(C^{1,1}\) functionsemiconcave functionLasry-Lions regularization
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Continuous and differentiable maps in nonlinear functional analysis (46T20)
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Cites Work
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- Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
- On the differential geometry of tangent bundles of Riemannian manifolds
- Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature
- A remark on regularization in Hilbert spaces
- \(C^\infty\) convex functions and manifolds of positive curvature
- Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds
- Regularity of \(C^ 1\) solutions of the Hamilton-Jacobi equation.
- Global and fine approximation of convex functions
- Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten.
- Mathematical Morphology for Real-Valued Images on Riemannian Manifolds
- Existence of C1,1C1,1 critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds
- Riemannian geometry.
