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Volumn 156, Issue 2, 1999, Pages 376-406

Parabolic problems with nonlinear boundary conditions and critical nonlinearities

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EID: 0033543054     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3612     Document Type: Article
Times cited : (125)

References (21)
  • 3
    • 84972559337 scopus 로고
    • On abstract parabolic fundamental solutions
    • Amann H. On abstract parabolic fundamental solutions. J. Math. Soc. Japan. 39:1987;93-116.
    • (1987) J. Math. Soc. Japan , vol.39 , pp. 93-116
    • Amann, H.1
  • 4
    • 0001835099 scopus 로고
    • Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • Teubner Texte zur Mathematik. Stuttgart: Teubner. p. 9-126
    • Amann H. Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. Schmeisser/Triebel: Function Spaces, Differential Operators and Nonlinear Analysis. Teubner Texte zur Mathematik. 133:1993;Teubner, Stuttgart. p. 9-126.
    • (1993) Schmeisser/Triebel: Function Spaces, Differential Operators and Nonlinear Analysis , vol.133
    • Amann, H.1
  • 6
    • 85034157681 scopus 로고    scopus 로고
    • Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
    • to appear in
    • J. Arrieta, and, A. N. Carvalho, Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations, to appear in, Trans. Am. Math. Soc.
    • Trans. Am. Math. Soc.
    • Arrieta, J.1    Carvalho, A.N.2
  • 8
    • 0002239265 scopus 로고
    • Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations
    • E. Zarantonello.
    • Brezis H. Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Zarantonello E., Contributions to Nonlinear Functional Analysis. 1971;101-165.
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 101-165
    • Brezis, H.1
  • 9
    • 0001968839 scopus 로고
    • Problèmes unilateraux
    • Brezis H. Problèmes unilateraux. J. Math. Pure Appl. 51:1972;1-168.
    • (1972) J. Math. Pure Appl. , vol.51 , pp. 1-168
    • Brezis, H.1
  • 10
    • 0030443821 scopus 로고    scopus 로고
    • A nonlinear heat equation with singular initial data
    • Brezis H., Cazenáve T. A nonlinear heat equation with singular initial data. J. Anal. Math. 68:1996;277-304.
    • (1996) J. Anal. Math. , vol.68 , pp. 277-304
    • Brezis, H.1    Cazenáve, T.2
  • 11
    • 0002538991 scopus 로고
    • Nonlinear parabolic equations involving measures as initial conditions
    • Brezis H., Friedman A. Nonlinear parabolic equations involving measures as initial conditions. J. Math. Pures Appl. 62:1983;73-97.
    • (1983) J. Math. Pures Appl. , vol.62 , pp. 73-97
    • Brezis, H.1    Friedman, A.2
  • 13
    • 0000713710 scopus 로고
    • Regularity properties of the heat equation subject to nonlinear boundary constraints
    • Evans L. Regularity properties of the heat equation subject to nonlinear boundary constraints. Nonlinear Anal. 1:1977;593-602.
    • (1977) Nonlinear Anal. , vol.1 , pp. 593-602
    • Evans, L.1
  • 15
    • 0000946209 scopus 로고
    • Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data
    • Kozono H., Yamazaki M. Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Comm. Partial Differential Equations. 19:1994;959-1014.
    • (1994) Comm. Partial Differential Equations , vol.19 , pp. 959-1014
    • Kozono, H.1    Yamazaki, M.2
  • 17
    • 0001173833 scopus 로고
    • A sharp form of an inequaliy by N. Trudinger
    • Moser J. A sharp form of an inequaliy by N. Trudinger. Indiana U. Math. J. 20:1971;1077-1092.
    • (1971) Indiana U. Math. J , vol.20 , pp. 1077-1092
    • Moser, J.1
  • 19
    • 0000453612 scopus 로고
    • On imbeddings into Orlicz spaces and some applications
    • Trudinger N. S. On imbeddings into Orlicz spaces and some applications. J. Math. Mech. 17:1967;473-483.
    • (1967) J. Math. Mech. , vol.17 , pp. 473-483
    • Trudinger N., S.1
  • 20
    • 0001404928 scopus 로고
    • Semilinear evolution equations in Banach spaces
    • Weisler F. B. Semilinear evolution equations in Banach spaces. J. Functional Anal. 32:1979;277-296.
    • (1979) J. Functional Anal. , vol.32 , pp. 277-296
    • Weisler F., B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.