메뉴 건너뛰기




Volumn 3, Issue 2, 1997, Pages 149-164

Explicit solution of some first-order PDE's

Author keywords

Hamilton jacobi equation; Hopf lax formula; Minimax solutions; Obstacle problem

Indexed keywords

EQUATIONS OF MOTION; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0031122556     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02465892     Document Type: Article
Times cited : (5)

References (20)
  • 1
    • 0001324581 scopus 로고
    • On Hopf formula for solutions of Hamilton-Jacobi equations
    • M. Bardi and L. C. Evans, On Hopf formula for solutions of Hamilton-Jacobi equations. Nonlinear Anal. TMA 8 (1984), 1373-1381.
    • (1984) Nonlinear Anal. TMA , vol.8 , pp. 1373-1381
    • Bardi, M.1    Evans, L.C.2
  • 2
    • 0003267441 scopus 로고
    • Solutions de viscosite des equations de Hamilton-Jacobi
    • Springer Verlag, New York
    • G. Barles, Solutions de viscosite des equations de Hamilton-Jacobi. Math, and Appl. Vol. 17, Springer Verlag, New York, 1994.
    • (1994) Math, and Appl. , vol.17
    • Barles, G.1
  • 4
    • 0000249116 scopus 로고
    • The Bellman equation for minimizing the maximum cost
    • E. N. Barron and H. Ishii, The Bellman equation for minimizing the maximum cost. Nonlinear Anal. TMA 13 (1989), 1067-1090.
    • (1989) Nonlinear Anal. TMA , vol.13 , pp. 1067-1090
    • Barron, E.N.1    Ishii, H.2
  • 8
    • 84968476212 scopus 로고
    • Mean value inequalities in Hilbert space
    • F. H. Clarke and Y. S. Ledyaev, Mean value inequalities in Hilbert space. Trans. Am. Math. Soc. 344 (1994), 307-324.
    • (1994) Trans. Am. Math. Soc. , vol.344 , pp. 307-324
    • Clarke, F.H.1    Ledyaev, Y.S.2
  • 9
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations
    • M. G. Crandall and P.-L. Lions, Viscosity solutions of Hamilton-Jacobi equations. Trans. Am. Math. Soc. 277 (1983), 1-42.
    • (1983) Trans. Am. Math. Soc. , vol.277 , pp. 1-42
    • Crandall, M.G.1    Lions, P.-L.2
  • 10
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton-Jacobi equations
    • M. G. Crandall, L. C. Evans, and P.-L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations. Trans. Am. Math. Soc. 282 (1984), 487-502.
    • (1984) Trans. Am. Math. Soc. , vol.282 , pp. 487-502
    • Crandall, M.G.1    Evans, L.C.2    Lions, P.-L.3
  • 12
    • 0000073921 scopus 로고
    • Generalized solutions of nonlinear equations of first order
    • E. Hopf, Generalized solutions of nonlinear equations of first order. J. Math. Mech. 14 (1965), 951-973.
    • (1965) J. Math. Mech. , vol.14 , pp. 951-973
    • Hopf, E.1
  • 13
    • 84968501412 scopus 로고
    • Hopf formula and multi-time Hamilton-Jacobi equations
    • P.-L. Lions and J. C. Rochet, Hopf formula and multi-time Hamilton-Jacobi equations. Proc. Am. Math. Soc. 90 (1980), 79-84.
    • (1980) Proc. Am. Math. Soc. , vol.90 , pp. 79-84
    • Lions, P.-L.1    Rochet, J.C.2
  • 14
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • R. T. Rockafellar, Convex analysis. Princeton University Press, Princeton, New Jersey, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 19
    • 0039261970 scopus 로고
    • Existence and uniqueness results for Hamilton-Jacobi equations
    • _, Existence and uniqueness results for Hamilton-Jacobi equations. Nonlinear Anal. TMA 16 (1991), 683-699.
    • (1991) Nonlinear Anal. TMA , vol.16 , pp. 683-699
  • 20


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.