메뉴 건너뛰기




Volumn 215, Issue 1, 2007, Pages 94-152

Entropy penalization methods for Hamilton-Jacobi equations

Author keywords

Fixed points; Hamilton Jacobi equations; Mather measures; Semiconcave functions

Indexed keywords


EID: 34447498638     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2007.04.001     Document Type: Article
Times cited : (18)

References (20)
  • 1
    • 2442509621 scopus 로고    scopus 로고
    • On the zero-temperature or vanishing viscosity limit for certain Markov processes arising from Lagrangian dynamics
    • Anantharaman N. On the zero-temperature or vanishing viscosity limit for certain Markov processes arising from Lagrangian dynamics. J. Eur. Math. Soc. (JEMS) 6 2 (2004) 207-276
    • (2004) J. Eur. Math. Soc. (JEMS) , vol.6 , Issue.2 , pp. 207-276
    • Anantharaman, N.1
  • 2
    • 84974753170 scopus 로고
    • Convergence of approximation schemes for fully nonlinear second order equations
    • Barles G., and Souganidis P.E. Convergence of approximation schemes for fully nonlinear second order equations. Asymptot. Anal. 4 3 (1991) 271-283
    • (1991) Asymptot. Anal. , vol.4 , Issue.3 , pp. 271-283
    • Barles, G.1    Souganidis, P.E.2
  • 4
    • 17644427854 scopus 로고    scopus 로고
    • Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control
    • Birkhäuser Boston, Boston, MA
    • Cannarsa P., and Sinestrari C. Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control. Progr. Nonlinear Differential Equations Appl. vol. 58 (2004), Birkhäuser Boston, Boston, MA
    • (2004) Progr. Nonlinear Differential Equations Appl. , vol.58
    • Cannarsa, P.1    Sinestrari, C.2
  • 5
    • 33751178576 scopus 로고    scopus 로고
    • The Hopf solution of Hamilton-Jacobi equations
    • Rolduc/Gaeta, 2001, World Sci. Publ., River Edge, NJ
    • Capuzzo Dolcetta I. The Hopf solution of Hamilton-Jacobi equations. Elliptic and Parabolic Problems. Rolduc/Gaeta, 2001 (2002), World Sci. Publ., River Edge, NJ 343-351
    • (2002) Elliptic and Parabolic Problems , pp. 343-351
    • Capuzzo Dolcetta, I.1
  • 6
    • 34447523231 scopus 로고    scopus 로고
    • Representations of solutions of Hamilton-Jacobi equations
    • Nonlinear Equations: Methods, Models and Applications. Bergamo, 2001, Birkhäuser, Basel
    • Capuzzo Dolcetta I. Representations of solutions of Hamilton-Jacobi equations. Nonlinear Equations: Methods, Models and Applications. Bergamo, 2001. Progr. Nonlinear Differential Equations Appl. vol. 54 (2003), Birkhäuser, Basel 79-90
    • (2003) Progr. Nonlinear Differential Equations Appl. , vol.54 , pp. 79-90
    • Capuzzo Dolcetta, I.1
  • 7
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall M.G., Ishii H., and Lions P.-L. User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 1 (1992) 1-67
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 8
    • 34247119091 scopus 로고    scopus 로고
    • Metric Hopf-Lax formula with semicontinuous data
    • Dragoni F. Metric Hopf-Lax formula with semicontinuous data. Discrete Contin. Dyn. Syst. 17 4 (2007) 713-729
    • (2007) Discrete Contin. Dyn. Syst. , vol.17 , Issue.4 , pp. 713-729
    • Dragoni, F.1
  • 9
    • 0003197047 scopus 로고
    • Linear Operators. I. General Theory
    • with the assistance of W.G. Bade and R.G. Bartle, Interscience, New York
    • Dunford N., and Schwartz J.T. Linear Operators. I. General Theory. with the assistance of W.G. Bade and R.G. Bartle. Pure Appl. Math. vol. 7 (1958), Interscience, New York
    • (1958) Pure Appl. Math. , vol.7
    • Dunford, N.1    Schwartz, J.T.2
  • 10
    • 0003346795 scopus 로고
    • Measure Theory and Fine Properties of Functions
    • CRC Press, Boca Raton, FL
    • Evans L.C., and Gariepy R.F. Measure Theory and Fine Properties of Functions. Stud. Adv. Math. (1992), CRC Press, Boca Raton, FL
    • (1992) Stud. Adv. Math.
    • Evans, L.C.1    Gariepy, R.F.2
  • 11
    • 0003228130 scopus 로고    scopus 로고
    • Partial Differential Equations
    • Amer. Math. Soc., Providence, RI
    • Evans L.C. Partial Differential Equations. Grad. Stud. Math. vol. 19 (1998), Amer. Math. Soc., Providence, RI
    • (1998) Grad. Stud. Math. , vol.19
    • Evans, L.C.1
  • 12
    • 13844271552 scopus 로고    scopus 로고
    • A survey of entropy methods for partial differential equations
    • (electronic)
    • Evans L.C. A survey of entropy methods for partial differential equations. Bull. Amer. Math. Soc. (N.S.) 41 4 (2004) 409-438 (electronic)
    • (2004) Bull. Amer. Math. Soc. (N.S.) , vol.41 , Issue.4 , pp. 409-438
    • Evans, L.C.1
  • 13
    • 34447545377 scopus 로고
    • A PDE approach to some large deviations problems
    • Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 1. Santa Fe, NM, 1984, Amer. Math. Soc., Providence, RI
    • Fleming W.H., and Souganidis P.E. A PDE approach to some large deviations problems. Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 1. Santa Fe, NM, 1984. Lectures in Appl. Math. vol. 23 (1986), Amer. Math. Soc., Providence, RI 441-447
    • (1986) Lectures in Appl. Math. , vol.23 , pp. 441-447
    • Fleming, W.H.1    Souganidis, P.E.2
  • 14
    • 18144375229 scopus 로고    scopus 로고
    • Viscosity solution methods and the discrete Aubry-Mather problem
    • Gomes D.A. Viscosity solution methods and the discrete Aubry-Mather problem. Discrete Contin. Dyn. Syst. 13 1 (2005) 103-116
    • (2005) Discrete Contin. Dyn. Syst. , vol.13 , Issue.1 , pp. 103-116
    • Gomes, D.A.1
  • 15
    • 0032343437 scopus 로고    scopus 로고
    • The variational formulation of the Fokker-Planck equation
    • (electronic)
    • Jordan R., Kinderlehrer D., and Otto F. The variational formulation of the Fokker-Planck equation. SIAM J. Math. Anal. 29 1 (1998) 1-17 (electronic)
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.1 , pp. 1-17
    • Jordan, R.1    Kinderlehrer, D.2    Otto, F.3
  • 16
    • 51649154248 scopus 로고
    • Action minimizing invariant measures for positive definite Lagrangian systems
    • Mather J.N. Action minimizing invariant measures for positive definite Lagrangian systems. Math. Z. 207 2 (1991) 169-207
    • (1991) Math. Z. , vol.207 , Issue.2 , pp. 169-207
    • Mather, J.N.1
  • 17
    • 0002818813 scopus 로고
    • Action minimizing orbits in Hamiltonian systems
    • Transition to Chaos in Classical and Quantum Mechanics. Montecatini Terme, 1991, Springer, Berlin
    • Mather J.N., and Forni G. Action minimizing orbits in Hamiltonian systems. Transition to Chaos in Classical and Quantum Mechanics. Montecatini Terme, 1991. Lecture Notes in Math. vol. 1589 (1994), Springer, Berlin 92-186
    • (1994) Lecture Notes in Math. , vol.1589 , pp. 92-186
    • Mather, J.N.1    Forni, G.2
  • 18
    • 46549091075 scopus 로고
    • Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
    • Souganidis P.E. Approximation schemes for viscosity solutions of Hamilton-Jacobi equations. J. Differential Equations 59 (1985) 1-43
    • (1985) J. Differential Equations , vol.59 , pp. 1-43
    • Souganidis, P.E.1
  • 20
    • 1542342359 scopus 로고    scopus 로고
    • Topics in Optimal Transportation
    • Amer. Math. Soc., Providence, RI
    • Villani C. Topics in Optimal Transportation. Grad. Stud. Math. vol. 58 (2003), Amer. Math. Soc., Providence, RI
    • (2003) Grad. Stud. Math. , vol.58
    • Villani, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.