Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène Semiconcavity results and sensitivity relations for the sub-Riemannian distance. (English) Zbl 1419.49050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 298-320 (2019). MSC: 49Q12 49N60 53C17 PDF BibTeX XML Cite \textit{V. Basco} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 298--320 (2019; Zbl 1419.49050) Full Text: DOI
Laschos, Vaios; Mielke, Alexander Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures. (English) Zbl 1422.60009 J. Funct. Anal. 276, No. 11, 3529-3576 (2019). MSC: 60B05 28A33 46E30 PDF BibTeX XML Cite \textit{V. Laschos} and \textit{A. Mielke}, J. Funct. Anal. 276, No. 11, 3529--3576 (2019; Zbl 1422.60009) Full Text: DOI arXiv
Siconolfi, Antonio; Zabad, Sahar Scalar reduction techniques for weakly coupled Hamilton-Jacobi systems. (English) Zbl 1415.35094 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 6, Paper No. 50, 20 p. (2018). MSC: 35F21 49L25 37J50 35D40 35Q93 PDF BibTeX XML Cite \textit{A. Siconolfi} and \textit{S. Zabad}, NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 6, Paper No. 50, 20 p. (2018; Zbl 1415.35094) Full Text: DOI
Albano, Paolo; Cannarsa, Piermarco; Scarinci, Teresa Regularity results for the minimum time function with Hörmander vector fields. (English) Zbl 1380.35057 J. Differ. Equations 264, No. 5, 3312-3335 (2018). MSC: 35F30 35F21 35D40 PDF BibTeX XML Cite \textit{P. Albano} et al., J. Differ. Equations 264, No. 5, 3312--3335 (2018; Zbl 1380.35057) Full Text: DOI arXiv
Hoang, Nguyen Hopf-Lax formula and generalized characteristics. (English) Zbl 1362.35091 Appl. Anal. 96, No. 2, 261-277 (2017). MSC: 35D40 35F21 35E10 52A41 PDF BibTeX XML Cite \textit{N. Hoang}, Appl. Anal. 96, No. 2, 261--277 (2017; Zbl 1362.35091) Full Text: DOI arXiv
Mou, Chenchen Semiconcavity of viscosity solutions for a class of degenerate elliptic integro-differential equations in \(\mathbb{R}^n\). (English) Zbl 1366.35210 Indiana Univ. Math. J. 65, No. 6, 1891-1920 (2016). MSC: 35R09 35D40 35J60 47G20 45K05 93E20 PDF BibTeX XML Cite \textit{C. Mou}, Indiana Univ. Math. J. 65, No. 6, 1891--1920 (2016; Zbl 1366.35210) Full Text: DOI arXiv
Montanari, Annamaria; Morbidelli, Daniele On the lack of semiconcavity of the subRiemannian distance in a class of Carnot groups. (English) Zbl 1345.53036 J. Math. Anal. Appl. 444, No. 2, 1652-1674 (2016). MSC: 53C17 PDF BibTeX XML Cite \textit{A. Montanari} and \textit{D. Morbidelli}, J. Math. Anal. Appl. 444, No. 2, 1652--1674 (2016; Zbl 1345.53036) Full Text: DOI arXiv
Crasta, Graziano; Fragalà, Ilaria Characterization of stadium-like domains via boundary value problems for the infinity Laplacian. (English) Zbl 1336.35257 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 228-249 (2016). MSC: 35N25 49K30 35J70 49K20 35D40 35J92 PDF BibTeX XML Cite \textit{G. Crasta} and \textit{I. Fragalà}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 228--249 (2016; Zbl 1336.35257) Full Text: DOI arXiv
Feleqi, Ermal Generalized semiconcavity of the value function of a jump diffusion optimal control problem. (English) Zbl 1326.35411 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 777-809 (2015). MSC: 35Q93 35E10 60H30 93E20 60J25 35R09 PDF BibTeX XML Cite \textit{E. Feleqi}, NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 777--809 (2015; Zbl 1326.35411) Full Text: DOI
Cannarsa, Piermarco Generalized gradient flow and singularities of the Riemannian distance function. (English) Zbl 1320.35009 Sémin. Laurent Schwartz, EDP Appl. 2012-2013, Exp. No. IX, 16 p. (2014). MSC: 35A21 26B25 49J52 55P10 35F21 PDF BibTeX XML Cite \textit{P. Cannarsa}, Sémin. Laurent Schwartz, EDP Appl. 2012--2013, Exp. No. IX, 16 p. (2014; Zbl 1320.35009) Full Text: DOI
Achdou, Yves; Camilli, Fabio; Corrias, Lucilla On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations. (English) Zbl 1282.65105 Discrete Contin. Dyn. Syst., Ser. B 19, No. 3, 629-650 (2014). MSC: 65M12 35F25 35R05 49L25 PDF BibTeX XML Cite \textit{Y. Achdou} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 3, 629--650 (2014; Zbl 1282.65105) Full Text: DOI arXiv
Psaradakis, Georgios \(L^1\) Hardy inequalities with weights. (English) Zbl 1274.35254 J. Geom. Anal. 23, No. 4, 1703-1728 (2013). MSC: 35P15 52A30 49Q20 51M16 PDF BibTeX XML Cite \textit{G. Psaradakis}, J. Geom. Anal. 23, No. 4, 1703--1728 (2013; Zbl 1274.35254) Full Text: DOI arXiv
Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter The dual arc inclusion with differential inclusions. (English) Zbl 1257.49007 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 79, 176-189 (2013). MSC: 49J30 34A60 49K30 PDF BibTeX XML Cite \textit{P. Cannarsa} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 79, 176--189 (2013; Zbl 1257.49007) Full Text: DOI
Jing, Shuai Regularity properties of viscosity solutions of integro-partial differential equations of Hamilton-Jacobi-Bellman type. (English) Zbl 1258.35198 Stochastic Processes Appl. 123, No. 2, 300-328 (2013). MSC: 35R09 35D40 60H30 93E20 35R60 PDF BibTeX XML Cite \textit{S. Jing}, Stochastic Processes Appl. 123, No. 2, 300--328 (2013; Zbl 1258.35198) Full Text: DOI arXiv
Tabor, Jacek; Tabor, Józef Paraconvex, but not strongly, Takagi functions. (English) Zbl 1318.26024 Control Cybern. 41, No. 3, 545-559 (2012). MSC: 26A51 PDF BibTeX XML Cite \textit{J. Tabor} and \textit{J. Tabor}, Control Cybern. 41, No. 3, 545--559 (2012; Zbl 1318.26024)
Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter Semiconcavity of the minimum time function for differential inclusions. (English) Zbl 1263.49020 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 19, No. 1-2, 187-206 (2012). MSC: 49K27 PDF BibTeX XML Cite \textit{P. Cannarsa} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 19, No. 1--2, 187--206 (2012; Zbl 1263.49020) Full Text: Link
Buckdahn, Rainer; Huang, Jianhui; Li, Juan Regularity properties for general HJB equations: a backward stochastic differential equation method. (English) Zbl 1246.93123 SIAM J. Control Optim. 50, No. 3, 1466-1501 (2012). MSC: 93E20 35D40 60H10 60H30 93E03 90C39 35K55 35K65 49N60 PDF BibTeX XML Cite \textit{R. Buckdahn} et al., SIAM J. Control Optim. 50, No. 3, 1466--1501 (2012; Zbl 1246.93123) Full Text: DOI
Cretarola, Alessandra; Gozzi, Fausto; Pham, Huyên; Tankov, Peter Optimal consumption policies in illiquid markets. (English) Zbl 1303.91154 Finance Stoch. 15, No. 1, 85-115 (2011). MSC: 91G10 93E20 49L25 49N90 PDF BibTeX XML Cite \textit{A. Cretarola} et al., Finance Stoch. 15, No. 1, 85--115 (2011; Zbl 1303.91154) Full Text: DOI
Tabor, Jacek; Tabor, Józef; Mureńko, Anna Semiconcave functions with power moduli. (English) Zbl 1223.26032 J. Convex Anal. 18, No. 2, 391-396 (2011). Reviewer: Rita Pini (Milano) MSC: 26B25 39B82 PDF BibTeX XML Cite \textit{J. Tabor} et al., J. Convex Anal. 18, No. 2, 391--396 (2011; Zbl 1223.26032) Full Text: Link
Nour, Chadi; Stern, Ron J.; Takche, Jean Generalized exterior sphere conditions and \(\varphi\)-convexity. (English) Zbl 1209.49014 Discrete Contin. Dyn. Syst. 29, No. 2, 615-622 (2011). MSC: 49J52 52A20 PDF BibTeX XML Cite \textit{C. Nour} et al., Discrete Contin. Dyn. Syst. 29, No. 2, 615--622 (2011; Zbl 1209.49014) Full Text: DOI
Buckdahn, Rainer; Cannarsa, Piermarco; Quincampoix, Marc Lipschitz continuity and semiconcavity properties of the value function of a stochastic control problem. (English) Zbl 1205.93162 NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 6, 715-728 (2010). MSC: 93E20 35D40 35K55 35K65 60H15 49L25 PDF BibTeX XML Cite \textit{R. Buckdahn} et al., NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 6, 715--728 (2010; Zbl 1205.93162) Full Text: DOI
Nour, C.; Stern, R. J.; Takche, J. The \(\theta \)-exterior sphere condition, \(\varphi \)-convexity, and local semiconcavity. (English) Zbl 1197.49012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 2, 573-589 (2010). MSC: 49J52 49J50 49J45 PDF BibTeX XML Cite \textit{C. Nour} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 2, 573--589 (2010; Zbl 1197.49012) Full Text: DOI
Tabor, Jacek; Tabor, Józef Generalized approximate midconvexity. (English) Zbl 1301.52002 Control Cybern. 38, No. 3, 655-669 (2009). MSC: 52A01 PDF BibTeX XML Cite \textit{J. Tabor} and \textit{J. Tabor}, Control Cybern. 38, No. 3, 655--669 (2009; Zbl 1301.52002)
Castelpietra, Marco Interior sphere property for level sets of the value function of an exit time problem. (English) Zbl 1155.49024 ESAIM, Control Optim. Calc. Var. 15, No. 1, 102 (2009). MSC: 49N60 93B03 49L20 49L25 PDF BibTeX XML Cite \textit{M. Castelpietra}, ESAIM, Control Optim. Calc. Var. 15, No. 1, 102 (2009; Zbl 1155.49024) Full Text: DOI EuDML
Nour, Chadi; Stern, Ronald J. Semiconcavity of the bilateral minimal time function: the linear case. (English) Zbl 1162.49021 Syst. Control Lett. 57, No. 10, 863-866 (2008). MSC: 49J52 49J40 93C05 49N05 PDF BibTeX XML Cite \textit{C. Nour} and \textit{R. J. Stern}, Syst. Control Lett. 57, No. 10, 863--866 (2008; Zbl 1162.49021) Full Text: DOI
Cannarsa, P.; Rifford, L. Semiconcavity results for optimal control problems admitting no singular minimizing controls. (English) Zbl 1145.49022 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 4, 773-802 (2008). MSC: 49N60 53C17 PDF BibTeX XML Cite \textit{P. Cannarsa} and \textit{L. Rifford}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 4, 773--802 (2008; Zbl 1145.49022) Full Text: DOI EuDML
Cannarsa, Piermarco; Castelpietra, Marco Lipschitz continuity and local semiconcavity for exit time problems with state constraints. (English) Zbl 1225.49035 J. Differ. Equations 245, No. 3, 616-636 (2008). MSC: 49N60 49L25 49K40 PDF BibTeX XML Cite \textit{P. Cannarsa} and \textit{M. Castelpietra}, J. Differ. Equations 245, No. 3, 616--636 (2008; Zbl 1225.49035) Full Text: DOI
Serea, Oana-Silvia Semiconcave solutions of partial differential inclusions. (English) Zbl 1075.35124 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 4, 655-673 (2005). MSC: 35R70 49L25 49J24 PDF BibTeX XML Cite \textit{O.-S. Serea}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 4, 655--673 (2005; Zbl 1075.35124) Full Text: DOI
Pignotti, Cristina Semiconcavity results for constrained optimal control problems in a half-space. (English) Zbl 1098.49007 J. Math. Anal. Appl. 305, No. 1, 197-218 (2005). MSC: 49J15 49K15 49L20 49L25 PDF BibTeX XML Cite \textit{C. Pignotti}, J. Math. Anal. Appl. 305, No. 1, 197--218 (2005; Zbl 1098.49007) Full Text: DOI
Sinestrari, Carlo Regularity along optimal trajectories of the value function of a Mayer problem. (English) Zbl 1068.49028 ESAIM, Control Optim. Calc. Var. 10, 666-676 (2004). MSC: 49N60 49K15 49L20 PDF BibTeX XML Cite \textit{C. Sinestrari}, ESAIM, Control Optim. Calc. Var. 10, 666--676 (2004; Zbl 1068.49028) Full Text: DOI Numdam EuDML
Sinestrari, Carlo Semiconcavity of the value function for exit time problems with nonsmooth target. (English) Zbl 1064.49024 Commun. Pure Appl. Anal. 3, No. 4, 757-774 (2004). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49L20 49L25 35D10 26B25 PDF BibTeX XML Cite \textit{C. Sinestrari}, Commun. Pure Appl. Anal. 3, No. 4, 757--774 (2004; Zbl 1064.49024) Full Text: DOI
Mantegazza, Carlo; Mennucci, Andrea Carlo Hamilton-Jacobi equations and distance functions on Riemannian manifolds. (English) Zbl 1048.49021 Appl. Math. Optimization 47, No. 1, 1-25 (2002). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49L25 26B25 53C22 PDF BibTeX XML Cite \textit{C. Mantegazza} and \textit{A. C. Mennucci}, Appl. Math. Optim. 47, No. 1, 1--25 (2002; Zbl 1048.49021) Full Text: DOI arXiv
Albano, Paolo Some properties of semiconcave functions with general modulus. (English) Zbl 1019.49027 J. Math. Anal. Appl. 271, No. 1, 217-231 (2002). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49L25 26B25 49L20 PDF BibTeX XML Cite \textit{P. Albano}, J. Math. Anal. Appl. 271, No. 1, 217--231 (2002; Zbl 1019.49027) Full Text: DOI
Ley, Olivier Lower-bound gradient estimates for first-order Hamilton-Jacobi equations and applications to the regularity of propagating fronts. (English) Zbl 1015.35031 Adv. Differ. Equ. 6, No. 5, 547-576 (2001). Reviewer: Hans Engler (Bonn) MSC: 35F25 35D10 49L25 35B37 PDF BibTeX XML Cite \textit{O. Ley}, Adv. Differ. Equ. 6, No. 5, 547--576 (2001; Zbl 1015.35031)
Cannarsa, Piermarco; Pignotti, Cristina; Sinestrari, Carlo Semiconcavity for optimal control problems with exit time. (English) Zbl 1009.49024 Discrete Contin. Dyn. Syst. 6, No. 4, 975-997 (2000). MSC: 49L20 49K40 PDF BibTeX XML Cite \textit{P. Cannarsa} et al., Discrete Contin. Dyn. Syst. 6, No. 4, 975--997 (2000; Zbl 1009.49024) Full Text: DOI
Cannarsa, Piermarco; Pignotti, Cristina Semiconcavity of the value function for an exit time problem with degenerate cost. (English) Zbl 1008.49021 Matematiche 55, Suppl. 2, 71-108 (2000). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49L20 49L25 49K15 49K30 26B25 PDF BibTeX XML Cite \textit{P. Cannarsa} and \textit{C. Pignotti}, Matematiche 55, 71--108 (2000; Zbl 1008.49021)
Albano, Paolo; Cannarsa, Piermarco; Sinestrari, Carlo Regularity results for the minimum time function of a class of semilinear evolution equations of parabolic type. (English) Zbl 1057.49019 SIAM J. Control Optimization 38, No. 3, 916-946 (2000). MSC: 49L20 49K20 49L25 49N60 PDF BibTeX XML Cite \textit{P. Albano} et al., SIAM J. Control Optim. 38, No. 3, 916--946 (2000; Zbl 1057.49019) Full Text: DOI
Sinestrari, Carlo Local regularity properties of the minimum time function. (English) Zbl 0885.49028 Da Prato, Giuseppe (ed.) et al., Partial differential equation methods in control and shape analysis. Proceedings of the IFIP conference, Pisa, Italy. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 188, 293-308 (1997). Reviewer: L.Ambrosio (Pavia) MSC: 49N60 49J15 PDF BibTeX XML Cite \textit{C. Sinestrari}, Lect. Notes Pure Appl. Math. 188, 293--308 (1997; Zbl 0885.49028)
Cannarsa, P.; Frankowska, H. Value function and optimality condition for semilinear control problems. II: Parabolic case. (English) Zbl 0862.49021 Appl. Math. Optimization 33, No. 1, 1-33 (1996). Reviewer: D.Franke (Hamburg) MSC: 49K20 49L20 47B44 49J52 47D03 PDF BibTeX XML Cite \textit{P. Cannarsa} and \textit{H. Frankowska}, Appl. Math. Optim. 33, No. 1, 1--33 (1996; Zbl 0862.49021) Full Text: DOI
Cannarsa, Piermarco; Sinestrari, Carlo Convexity properties of the minimum time function. (English) Zbl 0836.49013 Calc. Var. Partial Differ. Equ. 3, No. 3, 273-298 (1995). Reviewer: L.Ambrosio (Pavia) MSC: 49L20 49L25 93C10 PDF BibTeX XML Cite \textit{P. Cannarsa} and \textit{C. Sinestrari}, Calc. Var. Partial Differ. Equ. 3, No. 3, 273--298 (1995; Zbl 0836.49013) Full Text: DOI
Sinestrari, Carlo Semiconcavity of solutions of stationary Hamilton-Jacobi equations. (English) Zbl 0836.49014 Nonlinear Anal., Theory Methods Appl. 24, No. 9, 1321-1326 (1995). Reviewer: L.Ambrosio (Pavia) MSC: 49L20 49L25 PDF BibTeX XML Cite \textit{C. Sinestrari}, Nonlinear Anal., Theory Methods Appl. 24, No. 9, 1321--1326 (1995; Zbl 0836.49014) Full Text: DOI