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Volumn 216, Issue 2, 1997, Pages 593-613

On the multiplicity of equilibrium solutions to a nonlinear diffusion equation on a manifold arising in climatology

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATOLOGY; NONLINEAR EQUATIONS; SENSITIVITY ANALYSIS; THEOREM PROVING;

EID: 0031341533     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5691     Document Type: Article
Times cited : (58)

References (23)
  • 1
    • 0000836987 scopus 로고
    • Quasilinear elliptic-parabolic differential equations
    • Alt H. W., Luckhaus S. Quasilinear elliptic-parabolic differential equations. Math. Z. 183:1983;311-341.
    • (1983) Math. Z. , vol.183 , pp. 311-341
    • Alt, H.W.1    Luckhaus, S.2
  • 2
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • Amann H. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Rev. 18:1976;620-709.
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 6
    • 51249192395 scopus 로고
    • Proprietés régularisantes de certains semi-groupes nonlinéaires
    • Brezis H. Proprietés régularisantes de certains semi-groupes nonlinéaires. Israel J. Math. 9:1971;513-534.
    • (1971) Israel J. Math. , vol.9 , pp. 513-534
    • Brezis, H.1
  • 9
    • 0001006562 scopus 로고
    • The effects of solar radiation variations on the climate of the Earth
    • Budyko M. I. The effects of solar radiation variations on the climate of the Earth. Tellus. 21:1969;611-619.
    • (1969) Tellus , vol.21 , pp. 611-619
    • Budyko, M.I.1
  • 10
    • 0011008799 scopus 로고
    • Mathematical analysis of some diffusive energy balance climate models
    • Paris: Masson. p. 28-56
    • Díaz J. I. Mathematical analysis of some diffusive energy balance climate models. Mathematics, Climate and Environment. 1993;Masson, Paris. p. 28-56.
    • (1993) Mathematics, Climate and Environment
    • Díaz, J.I.1
  • 12
    • 0001843951 scopus 로고    scopus 로고
    • A nonlinear parabolic problem on a Riemannian manifold without boundary arising in Climatology
    • Díaz J. I., Tello L. A nonlinear parabolic problem on a Riemannian manifold without boundary arising in Climatology. Collectanea Mathematica. 1997.
    • (1997) Collectanea Mathematica
    • Díaz, J.I.1    Tello, L.2
  • 13
    • 21344475243 scopus 로고
    • On a nonlinear parabolic problem arising in some models related to turbulent flows
    • Díaz J. I., de Thélin F. On a nonlinear parabolic problem arising in some models related to turbulent flows. SIAM J. Math. Anal. 25:1994;1085-1111.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1085-1111
    • Díaz, J.I.1    De Thélin, F.2
  • 14
    • 0010957769 scopus 로고
    • Qualitative methods for nonlinear diffusion equations
    • A. Fasano, & M. Primicerio. New York: Springer Verlag
    • Hernández J. Qualitative methods for nonlinear diffusion equations. Fasano A., Primicerio M. Nonlinear Diffusion Equations. Lecture Notes. 1986;47-118 Springer Verlag, New York.
    • (1986) Nonlinear Diffusion Equations. Lecture Notes , pp. 47-118
    • Hernández, J.1
  • 15
    • 0011045191 scopus 로고
    • The structure of the principal component for semilinear diffusion equations from energy balance climate models
    • Hetzer G. The structure of the principal component for semilinear diffusion equations from energy balance climate models. Houston J. Math. 16:1990;203-216.
    • (1990) Houston J. Math. , vol.16 , pp. 203-216
    • Hetzer, G.1
  • 17
    • 84972531349 scopus 로고
    • A difference inequality and its application to nonlinear evolution equations
    • Nakao M. A difference inequality and its application to nonlinear evolution equations, J. Math. Soc. Japan. 30:1978;747-762.
    • (1978) J. Math. Soc. Japan , vol.30 , pp. 747-762
    • Nakao, M.1
  • 18
    • 0000257277 scopus 로고
    • Introduction to simple climate models
    • J.I. Díaz, & J.L. Lions. Paris: Masson
    • North G. R. Introduction to simple climate models. Díaz J. I., Lions J. L. Mathematics, Climate and Environment. 1993;139-159 Masson, Paris.
    • (1993) Mathematics, Climate and Environment , pp. 139-159
    • North, G.R.1
  • 19
    • 84966242258 scopus 로고
    • p = 0 on compact manifolds
    • p = 0 on compact manifolds. Trans. Amer. Math. Soc. 331:1992;503-527.
    • (1992) Trans. Amer. Math. Soc. , vol.331 , pp. 503-527
    • Ouyang, T.1
  • 20
    • 0001242352 scopus 로고
    • p = 0 on compact manifolds, part II
    • p = 0 on compact manifolds, part II. Indiana Univ. Math. J. 40:1991;1083-1141.
    • (1991) Indiana Univ. Math. J. , vol.40 , pp. 1083-1141
    • Ouyang, T.1
  • 21
    • 0014520439 scopus 로고
    • A global climatic model based on the energy balance of the earth-atmosphere system
    • Sellers W. D. A global climatic model based on the energy balance of the earth- atmosphere system. J. Appl. Meteorol. 8:1969;392-400.
    • (1969) J. Appl. Meteorol. , vol.8 , pp. 392-400
    • Sellers, W.D.1
  • 23
    • 0001364467 scopus 로고
    • A simplified radiative-dynamical model for the static stability of rotating atmospheres
    • Stone P. H. A simplified radiative-dynamical model for the static stability of rotating atmospheres. J. Atmospheric Sci. 29:1972;405-418.
    • (1972) J. Atmospheric Sci. , vol.29 , pp. 405-418
    • Stone, P.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.