메뉴 건너뛰기




Volumn 17, Issue 4, 2007, Pages 713-729

Metric HOPF-lax formula with semicontinuous data

Author keywords

Carnot Carath odory distances; Dynamical programming principle; Hamilton Jacobi equations; Hopf Lax formula

Indexed keywords


EID: 34247119091     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2007.17.713     Document Type: Article
Times cited : (27)

References (22)
  • 3
    • 43949169657 scopus 로고
    • Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: A guided visit
    • G. Barles, Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: a guided visit, Nonlinear Anal., 30 (1993), 1123-1134.
    • (1993) Nonlinear Anal , vol.30 , pp. 1123-1134
    • Barles, G.1
  • 4
    • 78049400271 scopus 로고
    • Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians
    • E.N. Barron, R. Jensen, Semicontinuous viscosity solutions for Hamilton-Jacobi equations with convex Hamiltonians, Comm. in Partial Diff. Equations, 15 (1990), 1713-1742.
    • (1990) Comm. in Partial Diff. Equations , vol.15 , pp. 1713-1742
    • Barron, E.N.1    Jensen, R.2
  • 5
    • 85039202553 scopus 로고    scopus 로고
    • A. Bellaïche. The tangent space in sub-Riemmanian geometry, in Sub-Riemannian Geometry (Eds. A.Bellaïche and J.J. Risler), Basel, Birkhauser, 1996.
    • A. Bellaïche. The tangent space in sub-Riemmanian geometry, in " Sub-Riemannian Geometry" (Eds. A.Bellaïche and J.J. Risler), Basel, Birkhauser, 1996.
  • 6
    • 84972533547 scopus 로고
    • The Bellman equation for constrained deterministic optimal control problems
    • S. Bortoletto, The Bellman equation for constrained deterministic optimal control problems, Diff. Int. Eq., 6 (1993), 905-924.
    • (1993) Diff. Int. Eq , vol.6 , pp. 905-924
    • Bortoletto, S.1
  • 7
    • 85039235045 scopus 로고    scopus 로고
    • P. Cannarsa, C. Sinestrari, Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control, Birkhäuser, Boston, 2004.
    • P. Cannarsa, C. Sinestrari, Semiconcave Functions, "Hamilton-Jacobi Equations, and Optimal Control," Birkhäuser, Boston, 2004.
  • 11
    • 33749243183 scopus 로고    scopus 로고
    • Smooth approximation of weak Finsler metrics
    • A. Davini, Smooth approximation of weak Finsler metrics, Diff. Int. Eq., 18 (2005), 509-530.
    • (2005) Diff. Int. Eq , vol.18 , pp. 509-530
    • Davini, A.1
  • 14
    • 0010568161 scopus 로고
    • Fall School in Analysis Jyväskylä
    • J. Heinonen, Calculus on Carnot Groups, Fall School in Analysis (Jyväskylä), (1994), 1-31.
    • (1994) Calculus on Carnot Groups , pp. 1-31
    • Heinonen, J.1
  • 15
    • 0003292086 scopus 로고
    • Generalized Solutions of Hamilton-Jacobi Equations
    • Pitman
    • P.L. Lions, "Generalized Solutions of Hamilton-Jacobi Equations," Research Notes in Mathematics, 69, Pitman, 1982.
    • (1982) Research Notes in Mathematics , vol.69
    • Lions, P.L.1
  • 16
    • 0036384836 scopus 로고    scopus 로고
    • A version of the Hopf-Lax formula in the Heisenberg group
    • J.J. Manfredi, B. Stroffolini, A version of the Hopf-Lax formula in the Heisenberg group, Comm. in Partial Diff. Equations, 27 (2002), 1139-1159.
    • (2002) Comm. in Partial Diff. Equations , vol.27 , pp. 1139-1159
    • Manfredi, J.J.1    Stroffolini, B.2
  • 18
    • 0012592396 scopus 로고    scopus 로고
    • Surface measure in Carnot- Carathéodory spaces
    • R. Monti, F. Serra Cassano Surface measure in Carnot- Carathéodory spaces, Calc. Var. Par. Diff. Eq., 13 (2001), 339-376.
    • (2001) Calc. Var. Par. Diff. Eq , vol.13 , pp. 339-376
    • Monti, R.1    Serra Cassano, F.2
  • 19
    • 0001773527 scopus 로고
    • Metriques de Carnot-Carathéodory et quasi isometries des espaces symmetriques de rang un
    • P. Pansu, Metriques de Carnot-Carathéodory et quasi isometries des espaces symmetriques de rang un, Ann. Math., 129 (1989), 1-60.
    • (1989) Ann. Math , vol.129 , pp. 1-60
    • Pansu, P.1
  • 20
    • 0037407041 scopus 로고    scopus 로고
    • Metric character of Hamilton-Jacobi equations
    • A. Siconolfi, Metric character of Hamilton-Jacobi equations, Trans. of Am. Math. Soc., 355 (2003), 1987-2009.
    • (2003) Trans. of Am. Math. Soc , vol.355 , pp. 1987-2009
    • Siconolfi, A.1
  • 21


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.