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Volumn 281, Issue 1, 2003, Pages 362-381

Viscosity solutions of fully nonlinear parabolic systems

Author keywords

Coupled solution; Fully nonlinear degenerate parabolic equations; Perron's method; Systems of partial differential equations; Viscosity solutions

Indexed keywords


EID: 0037670818     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00108-2     Document Type: Article
Times cited : (9)

References (15)
  • 1
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations
    • M.G. Crandall, P.L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983) 1-42.
    • (1983) Trans. Amer. Math. Soc. , vol.277 , pp. 1-42
    • Crandall, M.G.1    Lions, P.L.2
  • 2
    • 0038585921 scopus 로고
    • Viscosity solutions for weakly coupled systems of Hamilton-Jacobi equations
    • H. Engler, S.M. Lenhart, Viscosity solutions for weakly coupled systems of Hamilton-Jacobi equations, Proc. London Math. Soc. 63 (1991) 212-240.
    • (1991) Proc. London Math. Soc. , vol.63 , pp. 212-240
    • Engler, H.1    Lenhart, S.M.2
  • 3
    • 0010851810 scopus 로고
    • Viscosity solutions for monotone systems of second-order parabolic PDE's
    • H. Ishii, S. Koike, Viscosity solutions for monotone systems of second-order parabolic PDE's, Comm. Partial Differential Equations 16 (1991) 1095-1128.
    • (1991) Comm. Partial Differential Equations , vol.16 , pp. 1095-1128
    • Ishii, H.1    Koike, S.2
  • 4
    • 0038412191 scopus 로고
    • Viscosity solutions of a systems of nonlinear second-order parabolic PDE's arising in switching games
    • H. Ishii, S. Koike, Viscosity solutions of a systems of nonlinear second-order parabolic PDE's arising in switching games, Funkcial. Ekvac. 34 (1991) 143-155.
    • (1991) Funkcial. Ekvac. , vol.34 , pp. 143-155
    • Ishii, H.1    Koike, S.2
  • 5
    • 0038073802 scopus 로고
    • Viscosity solutions for weakly coupled systems of first order PDEs
    • S.M. Lenhart, Viscosity solutions for weakly coupled systems of first order PDEs, J. Math. Anal. Appl. 131 (1988) 180-193.
    • (1988) J. Math. Anal. Appl. , vol.131 , pp. 180-193
    • Lenhart, S.M.1
  • 6
    • 85031157679 scopus 로고    scopus 로고
    • Viscosity solutions of nonlinear systems of degenerate elliptic equations of second order
    • to appear
    • W. Liu, H. Chen, Viscosity solutions of nonlinear systems of degenerate elliptic equations of second order, Z. Anal. Anwendungen, to appear.
    • Z. Anal. Anwendungen
    • Liu, W.1    Chen, H.2
  • 7
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • M.G. Crandall, H. Ishii, P.L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.) 27 (1992) 1-67.
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 8
    • 0001396368 scopus 로고
    • Coupled fixed point of nonlinear operators with applications
    • D. Guo, V. Lakshmikantham, Coupled fixed point of nonlinear operators with applications, Nonlinear Anal. 11 (1987) 623-632.
    • (1987) Nonlinear Anal. , vol.11 , pp. 623-632
    • Guo, D.1    Lakshmikantham, V.2
  • 9
    • 84953017099 scopus 로고
    • Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations, Part 1: The dynamic programming principle and applications
    • P.L. Lions, Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations, Part 1: the dynamic programming principle and applications, Comm. Partial Differential Equations 8 (1983) 1101-1174.
    • (1983) Comm. Partial Differential Equations , vol.8 , pp. 1101-1174
    • Lions, P.L.1
  • 10
    • 4243787926 scopus 로고
    • Global existence and blow-up for systems of parabolic equations
    • Ph.D. thesis, University of Dundee, May
    • G. Lu, Global existence and blow-up for systems of parabolic equations, Ph.D. thesis, University of Dundee, May 1991.
    • (1991)
    • Lu, G.1
  • 11
    • 84971770489 scopus 로고
    • Maximum principles and comparison theorems for semilinear parabolic systems and their applications
    • G. Lu, B.D. Sleeman, Maximum principles and comparison theorems for semilinear parabolic systems and their applications, Proc. Roy. Soc. Edinburgh Sect. A 123 (1993) 857-885.
    • (1993) Proc. Roy. Soc. Edinburgh Sect. A , vol.123 , pp. 857-885
    • Lu, G.1    Sleeman, B.D.2
  • 12
    • 84988158973 scopus 로고
    • Subsolutions and super solutions to systems of parabolic equations with applications to generalized Fujita-type systems
    • G. Lu, B.D. Sleeman, Subsolutions and super solutions to systems of parabolic equations with applications to generalized Fujita-type systems, Math. Methods Appl. Sci. 17 (1994) 1005-1016.
    • (1994) Math. Methods Appl. Sci. , vol.17 , pp. 1005-1016
    • Lu, G.1    Sleeman, B.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.