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Volumn 1996, Issue , 1996, Pages 1-16

Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory

Author keywords

Energy balance climate models; Memory; Quasilinear parabolic functional evolution equations; Reaction diffusion equations

Indexed keywords


EID: 0042528928     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (18)
  • 1
    • 45549120045 scopus 로고
    • Dynamic theory of quasilinear parabolic equations I. Abstract evolution equations
    • H. Amann. Dynamic theory of quasilinear parabolic equations I. Abstract evolution equations. Nonlin. Anal., TMA., 12 (1988), 895-919.
    • (1988) Nonlin. Anal., TMA , vol.12 , pp. 895-919
    • Amann, H.1
  • 2
    • 84972541997 scopus 로고
    • Dynamic theory of quasilinear parabolic equations II. Reaction-diffusion systems
    • H. Amann. Dynamic theory of quasilinear parabolic equations II. Reaction-diffusion systems. Diff. Int. Eqn., 3 (1990), 13-75.
    • (1990) Diff. Int. Eqn. , vol.3 , pp. 13-75
    • Amann, H.1
  • 3
    • 0001742516 scopus 로고
    • Dynamic theory of quasilinear parabolic equations III. Global existence
    • Erratum 205 (1990), 331
    • H. Amann. Dynamic theory of quasilinear parabolic equations III. Global existence. Math. Z., 202 (1989), 219-250; Erratum 205 (1990), 331.
    • (1989) Math. Z. , vol.202 , pp. 219-250
    • Amann, H.1
  • 4
    • 1342321640 scopus 로고
    • Hopf bifurcation in quasilinear reaction-diffusion systems
    • S. Busenberg and M. Martelli (eds.), Lecture Notes in Mathematics, Springer-Verlag, Berlin, Heidelberg, New York
    • H. Amann. Hopf bifurcation in quasilinear reaction-diffusion systems. In: S. Busenberg and M. Martelli (eds.), Delay differential equations and dynamical systems, pp. 53-63, Lecture Notes in Mathematics, vol. 1475, Springer-Verlag, Berlin, Heidelberg, New York, 1991.
    • (1991) Delay Differential Equations and Dynamical Systems , vol.1475 , pp. 53-63
    • Amann, H.1
  • 5
    • 0001835099 scopus 로고
    • Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • H.J. Schmeisser and H. Triebel (eds.). Teubner Texte zur Mathematik 133, Stuttgart, Leipzig
    • H. Amann. Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. In: H.J. Schmeisser and H. Triebel (eds.), Function spaces, differential operators and nonlinear analysis, pp. 9-126. Teubner Texte zur Mathematik 133, Stuttgart, Leipzig, 1993.
    • (1993) Function Spaces, Differential Operators and Nonlinear Analysis , pp. 9-126
    • Amann, H.1
  • 8
    • 0020330276 scopus 로고
    • Internal variability of an energy balance climate model
    • K. Bhattacharya, M. Ghil, I.L. Vulis. Internal variability of an energy balance climate model. J. Atmosph. Sci., 39 (1982), 1747-1773.
    • (1982) J. Atmosph. Sci. , vol.39 , pp. 1747-1773
    • Bhattacharya, K.1    Ghil, M.2    Vulis, I.L.3
  • 10
    • 84972493996 scopus 로고
    • A functional reaction-diffusion equation from climate modeling: S-shapedness of the principal branch
    • G. Hetzer. A functional reaction-diffusion equation from climate modeling: S-shapedness of the principal branch. Diff. Int. Eqns., 8 (1995), 1047-1059.
    • (1995) Diff. Int. Eqns. , vol.8 , pp. 1047-1059
    • Hetzer, G.1
  • 11
    • 0003365694 scopus 로고    scopus 로고
    • S-shapedness for energy balance climate models of Sellers-type
    • Proc. NATO Advanced Studies Institute, Puerto de la Cruz, Tenerife, Spain, Springer-Verlag, to appear
    • G. Hetzer. S-shapedness for energy balance climate models of Sellers-type. In: The mathematics of models for climatology and environment, Proc. NATO Advanced Studies Institute, Puerto de la Cruz, Tenerife, Spain, Springer-Verlag, to appear.
    • The Mathematics of Models for Climatology and Environment
    • Hetzer, G.1
  • 12
    • 3042664569 scopus 로고
    • Global existence and asymptotic behavior for a quasilinear reaction-diffusion system from climate modeling
    • G. Hetzer, P.L. Schmidt. Global existence and asymptotic behavior for a quasilinear reaction-diffusion system from climate modeling. J. Math. Anal. Appl., 160 (1991), 250-262.
    • (1991) J. Math. Anal. Appl. , vol.160 , pp. 250-262
    • Hetzer, G.1    Schmidt, P.L.2
  • 13
    • 0042028068 scopus 로고    scopus 로고
    • Analysis of energy balance models
    • V. Lakshmikantham, (ed.), W. de Gruyter, Berlin, New York
    • G. Hetzer, P.L. Schmidt. Analysis of energy balance models. In: V. Lakshmikantham, (ed.), Proceedings of the First World Congress of Nonlinear Analysts, Vol. II, pp. 1609-1618, W. de Gruyter, Berlin, New York, 1996.
    • (1996) Proceedings of the First World Congress of Nonlinear Analysts , vol.2 , pp. 1609-1618
    • Hetzer, G.1    Schmidt, P.L.2
  • 15
    • 84862381565 scopus 로고
    • Progress in Nonlinear Differential Equations and Their Applications, Birkhäuser, Basel, Boston, Berlin
    • A. Lunardi. Analytic semigroups and optimal regularity in parabolic equations. Progress in Nonlinear Differential Equations and Their Applications; vol. 16, Birkhäuser, Basel, Boston, Berlin, 1995.
    • (1995) Analytic Semigroups and Optimal Regularity in Parabolic Equations , vol.16
    • Lunardi, A.1
  • 16
    • 84862381563 scopus 로고
    • Monographs in Mathematics. Birkhäuser, Basel, Boston, Berlin
    • H. Triebel. Theory of function spaces. Monographs in Mathematics; vol. 78. Birkhäuser, Basel, Boston, Berlin, 1983.
    • (1983) Theory of Function Spaces , vol.78
    • Triebel, H.1
  • 17
    • 84862381564 scopus 로고
    • Monographs in Mathematics. Birkhäuser, Basel, Boston, Berlin
    • H. Triebel. Theory of function spaces II. Monographs in Mathematics; vol. 84. Birkhäuser, Basel, Boston, Berlin, 1992.
    • (1992) Theory of Function Spaces II , vol.84
    • Triebel, H.1
  • 18
    • 84972279175 scopus 로고
    • Quasi-linear parabolic partial differential equations with delays in the highest order spatial derivatives
    • Jiongmin Yong, Liping Pan. Quasi-linear parabolic partial differential equations with delays in the highest order spatial derivatives. J. Austr. Math. Soc. (Series A), 54 (1993), 174-203.
    • (1993) J. Austr. Math. Soc. (Series A) , vol.54 , pp. 174-203
    • Yong, J.1    Pan, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.