@article{ASNSP_1999_4_28_4_719_0, author = {Albano, Paolo and Cannarsa, Piermarco}, title = {Structural properties of singularities of semiconcave functions}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {719--740}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 28}, number = {4}, year = {1999}, mrnumber = {1760538}, zbl = {0957.26002}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1999_4_28_4_719_0/} }
TY - JOUR AU - Albano, Paolo AU - Cannarsa, Piermarco TI - Structural properties of singularities of semiconcave functions JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1999 SP - 719 EP - 740 VL - 28 IS - 4 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1999_4_28_4_719_0/ LA - en ID - ASNSP_1999_4_28_4_719_0 ER -
%0 Journal Article %A Albano, Paolo %A Cannarsa, Piermarco %T Structural properties of singularities of semiconcave functions %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1999 %P 719-740 %V 28 %N 4 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1999_4_28_4_719_0/ %G en %F ASNSP_1999_4_28_4_719_0
Albano, Paolo; Cannarsa, Piermarco. Structural properties of singularities of semiconcave functions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 28 (1999) no. 4, pp. 719-740. http://archive.numdam.org/item/ASNSP_1999_4_28_4_719_0/
[1] Singularities of semiconcave functions in Banach spaces, In: " Stochastic Analysis, Control, Optimization and Applications", W. M. McENEANEY - G. G. YIN - Q. ZHANG (eds.), Birkhäuser, Boston, 1999, pp. 171-190. | MR | Zbl
- ,[2] On the structure of singular sets of convex functions, Calc. Var. Partial Differential Equations 2 (1994), 17-27. | MR | Zbl
,[3] On the singularities of convex functions, Manuscripta Math. 76 (1992), 421-435. | MR | Zbl
- - ,[4] On the propagation of singularities of semi-convex functions, Annali Scuola Norm. Sup. Pisa Cl. Sci. (4) 20 (1993), 597-616. | Numdam | MR | Zbl
- - ,[5] Singular sets of convex bodies and surfaces with generalized curvatures, Manuscripta Math. 86 (1995), 417-433. | MR | Zbl
- ,[6] Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations", Birkhduser, Boston, 1997. | MR | Zbl
- , "[7] Eine beschreibung der nichteindeutigkeitsmenge für die beste approximation in der euklidischen ebene, J. Approx. Theory 47 (1986), 54-74. | MR | Zbl
- ,[8] Some characterizations of optimal trajectories in control theory, SIAM J. Control Optim. 29 (1991), 1322-1347. | MR | Zbl
- ,[9] Convexity properties of the minimum time function, Calc. Var. Partial Differential Equations 3 (1995), 273-298. | MR | Zbl
- ,[10] On the singularities of the viscosity solutions to Hamilton-Jacobi-Bellman equations, Indiana Univ. Math. J. 36 (1987), 501-524. | MR | Zbl
- ,[11] "Nonsmooth analysis and control theory", Graduate Texts in Mathematics, Springer, New York, 1998. | MR | Zbl
- YU. S. LEDYAEV - - ,[12] Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282 (1984), 487-502. | MR | Zbl
- - ,[13] User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. 27 (1992), 1-67. | MR | Zbl
- - ,[14] Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), 1-42. | MR | Zbl
- ,[15] The continuous dependence of generalized solutions of non-linear partial differential equations upon initial data, Comm. Pure Appl. Math. 14 (1961), 267-284. | MR | Zbl
,[16] Some remarks on the measurability of certain sets, Bull. Amer. Math. Soc. 51 (1945), 728-731. | MR | Zbl
,[17] "Functions of several variables", Springer, New York, 1977. | MR | Zbl
,[18] Controlled Markov processes and viscosity solutions", Springer, Berlin, 1993. | MR | Zbl
- , "[19] "Notions of convexity", Birkhäuser, Boston, 1994. | MR | Zbl
,[20] Generalized solutions of Hamilton-Jacobi equations of the eikonal type I, Math. USSR Sb. 27 (1975), 406-445.
,[21] Uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations, Indiana Univ. Math. J. 33 (1984), 721-748. | MR | Zbl
,[22] Generalized solutions of Hamilton-Jacobi equations", Pitman, Boston, 1982. | MR | Zbl
, "[23] Sur quelques propriétés caractéristiques des ensembles convexes, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 21 (1935), 562-567. | Zbl
,[24] Generalized solutions of first order PDEs: the dynamic optimization perspective", Birkhduser, Boston, 1995. | MR | Zbl
, "[25] On the multiplicity points of monotone operators on separable Banach spaces, Comment. Math. Univ. Carolin. 27 (1986), 551-570. | MR | Zbl
,[26] On the multiplicity points of monotone operators on separable Banach spaces II, Comment. Math. Univ. Carolin. 28 (1987), 295-299. | MR | Zbl
,[27] A connectedness property of maximal monotone operators and its application to approximation theory, Proc. Amer. Math. Soc. 115 (1992), 663-667. | MR | Zbl
,[28] On a property of metric projections onto closed subsets of Hilbert spaces, Proc. Amer. Math. Soc. 105 (1989), 644-651. | MR | Zbl
- ,[29] On the points of multiplicity of monotone operators, Comment. Math. Univ. Carolin. 19 (1978), 179-189. | MR | Zbl
,[30] On the differentiation of convex functions in finite and infinite dimensional spaces, Czechoslovak Math. J. 29 (1979), 340-348. | MR | Zbl
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