Lasry-Lions regularization and a lemma of Ilmanen
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Publication:624862
DOI10.4171/RSMUP/124-15zbMath1214.46053arXiv1001.3129WikidataQ124841445 ScholiaQ124841445MaRDI QIDQ624862
Publication date: 10 February 2011
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.3129
Semigroups of nonlinear operators (47H20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of functional analysis to differential and integral equations (46N20)
Related Items (10)
Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus ⋮ Weak K. A. M. solutions and minimizing orbits of twist maps ⋮ Ilmanen's Lemma on insertion of \(C^{1,1}\) functions ⋮ A generalization of the Moreau-Yosida regularization ⋮ Optimal regularity for the convex envelope and semiconvex functions related to supersolutions of fully nonlinear elliptic equations ⋮ Lasry-Lions approximations for discounted Hamilton-Jacobi equations ⋮ Generalized versions of Ilmanen lemma: Insertion of $ C^{1,\omega} $ or $ C^{1,\omega}_{{\rm loc}} $ functions ⋮ Inhomogeneous Hopf-Oleĭnik lemma and regularity of semiconvex supersolutions via new barriers for the Pucci extremal operators ⋮ Singularities of solutions of Hamilton-Jacobi equations ⋮ Optimal regularity of the convex envelope
Cites Work
- Unnamed Item
- Ilmanen's Lemma on insertion of \(C^{1,1}\) functions
- Existence of \(C^{1,1}\) critical subsolutions in discrete weak KAM theory
- A remark on regularization in Hilbert spaces
- Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
- Existence of C1,1C1,1 critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds
- Front propagation problems with nonlocal terms. II
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