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Volumn 110, Issue 4, 2000, Pages 393-414

Formula for a solution of ut + H(u, Du) = g

Author keywords

Dynamic programming principle; Hamilton Jacobi equation; Viscosity sub and super solutions

Indexed keywords


EID: 0042689806     PISSN: 02534142     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02829534     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 0042241355 scopus 로고    scopus 로고
    • Hopf Lax type formula for sub and supersolutions
    • Adimurthi and Veerappa Gowda G D, Hopf Lax type formula for sub and supersolutions, Adv. Diff. Eq. 5 (2000) 97-119
    • (2000) Adv. Diff. Eq. , vol.5 , pp. 97-119
    • Adimurthi1    Veerappa Gowda, G.D.2
  • 2
    • 0000414464 scopus 로고
    • Viscosity solutions of Isaacs equations and differential games with Lipschitz controls
    • Barron E N, Evans L C and Jensen R, Viscosity solutions of Isaacs equations and differential games with Lipschitz controls, J. Diff. Eq. 53 (1984) 213-233
    • (1984) J. Diff. Eq. , vol.53 , pp. 213-233
    • Barron, E.N.1    Evans, L.C.2    Jensen, R.3
  • 3
    • 0000249116 scopus 로고
    • The Bellman equation for minimizing maximum cost
    • Barron E N and Ishii H, The Bellman equation for minimizing maximum cost, Nonlinear Analysis TMA 13(9) (1989) 1067-1090
    • (1989) Nonlinear Analysis TMA , vol.13 , Issue.9 , pp. 1067-1090
    • Barron, E.N.1    Ishii, H.2
  • 4
    • 0031147888 scopus 로고    scopus 로고
    • Calculus of variations in L∞
    • Barron E N and Liu W, Calculus of variations in L∞, Appl. Math. Opt. 35 (1997) 237-263
    • (1997) Appl. Math. Opt. , vol.35 , pp. 237-263
    • Barron, E.N.1    Liu, W.2
  • 6
    • 0001530170 scopus 로고
    • Discontinuous solutions of deterministic optimal stopping time problems
    • Barles G and Perthame B, Discontinuous solutions of deterministic optimal stopping time problems, Math. Modelling Numer. Anal. 21 (1987) 57-579
    • (1987) Math. Modelling Numer. Anal. , vol.21 , pp. 57-579
    • Barles, G.1    Perthame, B.2
  • 8
    • 0000102846 scopus 로고
    • Differential games and representation formulas for Hamilton Jacobi equations
    • Evans L C and Souganidis P, Differential games and representation formulas for Hamilton Jacobi equations, Indiana Univ. Math. J. 33 (1984) 773-795
    • (1984) Indiana Univ. Math. J. , vol.33 , pp. 773-795
    • Evans, L.C.1    Souganidis, P.2
  • 9
    • 84972566521 scopus 로고
    • Perron's method for Hamilton Jacobi equations
    • Hitoshi Ishii, Perron's method for Hamilton Jacobi equations, Duke. Math. J. 55 (1987) 369-364
    • (1987) Duke. Math. J. , vol.55 , pp. 369-1364
    • Ishii, H.1
  • 10
    • 0003292086 scopus 로고
    • Generalized solutions of Hamilton Jacobi equations
    • Pitmann
    • Lions P L, Generalized solutions of Hamilton Jacobi equations, Research notes in Mathematics (Pitmann) (1982)
    • (1982) Research Notes in Mathematics
    • Lions, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.