메뉴 건너뛰기




Volumn 3, Issue 2, 1996, Pages 295-308

The viscosity sub differential of the sum of two functions in banach spaces I: First order case

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21744437041     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (22)

References (29)
  • 1
    • 0000280429 scopus 로고
    • On subdifferentiability spaces
    • A. D. Ioffe: On subdifferentiability spaces, Ann. New York Acad. Sci. 410 (1983) 107-119.
    • (1983) Ann. New York Acad. Sci. , vol.410 , pp. 107-119
    • Ioffe, A.D.1
  • 2
    • 84962984436 scopus 로고
    • Subdifferentials, local £-supports and Asplund spaces
    • M. Fabian: Subdifferentials, local £-supports and Asplund spaces, J. London Math. Soc. 34 (1986) 568-576.
    • (1986) J. London Math. Soc. , vol.34 , pp. 568-576
    • Fabian, M.1
  • 3
    • 0002574218 scopus 로고
    • Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss
    • M. Fabian: Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss, Acta Univ. Carolinae 30 (1989) 51-56.
    • (1989) Acta Univ. Carolinae , vol.30 , pp. 51-56
    • Fabian, M.1
  • 4
    • 0000801656 scopus 로고
    • A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions
    • R. Deville, G. Godefroy and V. Zizler: A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions, J. Funct. Anal. 111 (1993) 197-212.
    • (1993) J. Funct. Anal. , vol.111 , pp. 197-212
    • Deville, R.1    Godefroy, G.2    Zizler, V.3
  • 5
    • 84966213239 scopus 로고
    • A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions
    • J. M. Borwein, D. Preiss: A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions, Trans. Amer. Math. Soc. 303 (1987) 517-527.
    • (1987) Trans. Amer. Math. Soc. , vol.303 , pp. 517-527
    • Borwein, J.M.1    Preiss, D.2
  • 7
    • 0003293351 scopus 로고
    • Smoothness and renormings in Banach spaces
    • Longman Scientific and Technical
    • R. Deville, G. Godefroy and V. Zizler: Smoothness and renormings in Banach spaces, Pitman Monographs in Mathematics 64, Longman Scientific and Technical, 1993.
    • (1993) Pitman Monographs in Mathematics , vol.64
    • Deville, R.1    Godefroy, G.2    Zizler, V.3
  • 8
    • 84960582452 scopus 로고
    • Proximal analysis and approximate subdifferentials
    • A. D. Ioffe: Proximal analysis and approximate subdifferentials, J. London Math. Soc. 41 (1990) 175-192.
    • (1990) J. London Math. Soc. , vol.41 , pp. 175-192
    • Ioffe, A.D.1
  • 9
    • 0000107568 scopus 로고
    • Differentiability of Lipschitz functions on Banach spaces
    • D. Preiss: Differentiability of Lipschitz functions on Banach spaces, J. Funct. Anal. 91 (1990) 312-345.
    • (1990) J. Funct. Anal. , vol.91 , pp. 312-345
    • Preiss, D.1
  • 10
    • 0039610719 scopus 로고
    • On a dual locally uniformly rotund norm on a dual Vasàk space
    • M. Fabian: On a dual locally uniformly rotund norm on a dual Vasàk space, Studia Math. 101 (1991) 69-81.
    • (1991) Studia Math. , vol.101 , pp. 69-81
    • Fabian, M.1
  • 11
    • 84973950312 scopus 로고
    • Each weakly countably determined Asplund space admits a Fréchet differentiable norm
    • M. Fabian: Each weakly countably determined Asplund space admits a Fréchet differentiable norm, Bull. Austr. Math. Soc. 36 (1987) 367-374.
    • (1987) Bull. Austr. Math. Soc. , vol.36 , pp. 367-374
    • Fabian, M.1
  • 12
    • 51249173103 scopus 로고
    • Renormages de quelques C(K)
    • M. Talagrand: Renormages de quelques C(K), Israel J. Math. 54 (1986) 327-334.
    • (1986) Israel J. Math. , vol.54 , pp. 327-334
    • Talagrand, M.1
  • 13
    • 0000682481 scopus 로고
    • A counterexample to several questions about scattered compact spaces
    • R. G. Haydon: A counterexample to several questions about scattered compact spaces, Bull. London Math. Soc. 22 (1990) 261-268.
    • (1990) Bull. London Math. Soc. , vol.22 , pp. 261-268
    • Haydon, R.G.1
  • 15
    • 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
  • 16
    • 84968476212 scopus 로고
    • Mean value inequalities in Hilbert spaces
    • F. H. Clarke, Y. S. Ledyaev: Mean value inequalities in Hilbert spaces, Trans. Amer. Math. Soc. 344 (1994) 307-324.
    • (1994) Trans. Amer. Math. Soc. , vol.344 , pp. 307-324
    • Clarke, F.H.1    Ledyaev, Y.S.2
  • 19
    • 84875154035 scopus 로고
    • Part III: 68 (1986) 214-247;
    • (1986) Part III , vol.68 , pp. 214-247
  • 24
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order fully non linear partial differential equations
    • M. G. Crandall, H. Ishii and P.-L. Lions: User's guide to viscosity solutions of second order fully non linear partial differential equations, Bull. Amer. Math. Soc. 27 (1992) 1-67.
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 26
    • 84972566521 scopus 로고
    • Perron's method for Hamilton-Jacobi equations
    • H. Ishii: Perron's method for Hamilton-Jacobi equations, Duke Math. J. 55 (1987) 369-384.
    • (1987) Duke Math. J. , vol.55 , pp. 369-384
    • Ishii, H.1
  • 28
    • 0000102847 scopus 로고
    • Some min-max methods for the Hamilton-Jacobi equation
    • L. C. Evans: Some min-max methods for the Hamilton-Jacobi equation, Indiana Univ. Math. J. 33 (1984) 31-50.
    • (1984) Indiana Univ. Math. J. , vol.33 , pp. 31-50
    • Evans, L.C.1
  • 29
    • 38249040009 scopus 로고
    • On the single-valuedness of Hamilton-Jacobi operators
    • H. Frankowska: On the single-valuedness of Hamilton-Jacobi operators, Non Linear Anal. T. M. A. 10 (1986) 1477-1483.
    • (1986) Non Linear Anal. T. M. A. , vol.10 , pp. 1477-1483
    • Frankowska, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.