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Volumn 28, Issue 1-2, 2003, Pages 409-438

Asymptotic analysis for a class of infinite systems of first-order PDE: Nonlinear parabolic PDE in the singular limit

Author keywords

Hamiton Jacobi equations; Infinite system; Perturbed test functions; Singular limit; Viscosity solutions

Indexed keywords


EID: 0038107449     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120019388     Document Type: Article
Times cited : (3)

References (8)
  • 1
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall MG, Ishii H, Lions P-L. User's guide to viscosity solutions of second order partial differential equations. Bull Amer Math Soc (NS) 1992; 27(1): 1-67.
    • (1992) Bull Amer Math Soc (NS) , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 2
    • 0038585921 scopus 로고
    • Viscosity solutions for weakly coupled systems of Hamilton-Jacobi equations
    • Engler H, Lenhart SM. Viscosity solutions for weakly coupled systems of Hamilton-Jacobi equations. Proc London Math Soc (3) 1991; 63(1):212-240.
    • (1991) Proc London Math Soc (3) , vol.63 , Issue.1 , pp. 212-240
    • Engler, H.1    Lenhart, S.M.2
  • 3
    • 84971110219 scopus 로고
    • The perturbed test function method for viscosity solutions of nonlinear PDE
    • Evans LC. The perturbed test function method for viscosity solutions of nonlinear PDE. Proc Roy Soc Edinburgh Sect A 1989; 111(3-4):359-375.
    • (1989) Proc Roy Soc Edinburgh Sect A , vol.111 , Issue.3-4 , pp. 359-375
    • Evans, L.C.1
  • 4
    • 84974059058 scopus 로고
    • Periodic homogenisation of certain fully nonlinear partial differential equations
    • Evans LC. Periodic homogenisation of certain fully nonlinear partial differential equations. Proc Roy Soc Edinburgh Sect A 1992; 120(3-4):245-265.
    • (1992) Proc Roy Soc Edinburgh Sect A , vol.120 , Issue.3-4 , pp. 245-265
    • Evans, L.C.1
  • 5
    • 0037909761 scopus 로고
    • Viscosity solutions of functional-differential equations
    • Ishii H, Koike S. Viscosity solutions of functional-differential equations. Adv Math Sci Appl 1993/94; 3 Special Issue: 191-218.
    • (1993) Adv Math Sci Appl , Issue.3 SPEC. ISSUE , pp. 191-218
    • Ishii, H.1    Koike, S.2
  • 6
    • 0038585922 scopus 로고
    • Differential equations with a small parameter and the central limit Theorem for functions denned on a finite Markov chain
    • Pinsky M. Differential equations with a small parameter and the central limit Theorem for functions denned on a finite Markov chain. Z Wahrscheinlichkeitstheorie und Verw Gebiete 1968; 9:101-111.
    • (1968) Z Wahrscheinlichkeitstheorie und Verw Gebiete , vol.9 , pp. 101-111
    • Pinsky, M.1
  • 7
    • 0037909764 scopus 로고    scopus 로고
    • Lectures on Random Evolution
    • New Jersey: World Scientific Publishing Co Inc
    • Pinsky MA. Lectures on random evolution. New Jersey: World Scientific Publishing Co Inc, 1991.
    • 1991
    • Pinsky, M.A.1
  • 8


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.