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A class of nonlinear diffusion problems

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Infinite-Dimensional Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1076))

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References

  1. Busenberg, S., M. Iannelli: A method for treating a class of nonlinear diffusion problems, Rend. Ac. Naz. Lincei, Serie VIII, 57 (1982), 121–127.

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  2. Busenberg, S., M. Iannelli: A class of nonlinear diffusion problems in age-dependent population dynamics, Nonlinear Analysis TMA, 7 (1983), 501–529.

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  3. Busenberg, S., M. Iannelli: A degenerate nonlinear diffusion problem in age-structured population dynamics, Nonlinear Analysis TMA, to appear.

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  4. Busenberg, S., M. Iannelli: Nonlinear diffusion problems in age-structured population dynamics, Proceedings of the Trieste conference on Mathematical Ecology, to appear.

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  5. Gurtin, M., R.C. Mac Camy: Diffusion models for age-structured populations, Math. Biosc., 54 (1981), 49–59.

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  6. Hoppensteadt, F.: Mathematical Theory of Population Demographics, Genetics and Epidemics, CBMS-NSF Regional Conferences Series in Applied Mathematics, SIAM, Philadelphia, 1975.

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  7. Mac Camy, R.C.: A population model with nonlinear diffusion, J. Diff. Eq. 39 (1981), 52–72.

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  8. Olienik, O.A.: On some degenerate quasilinear equations, Seminario di Analisi, Instituto Nazionale di Alta Matematica, Cremonese, Roma, 1965.

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  9. Webb, G.F.: Theory of Nonlinear Age-Dependent Population Dynamics. Manuscript.

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Authors and Affiliations

  1. Harvey Mudd College, 91711, Claremont, CA, USA

    S. N. Busenberg

Authors
  1. S. N. Busenberg
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Franz Kappel Wilhelm Schappacher

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© 1984 Springer-Verlag

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Busenberg, S.N. (1984). A class of nonlinear diffusion problems. In: Kappel, F., Schappacher, W. (eds) Infinite-Dimensional Systems. Lecture Notes in Mathematics, vol 1076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072762

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  • DOI: https://doi.org/10.1007/BFb0072762

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13376-6

  • Online ISBN: 978-3-540-38932-3

  • eBook Packages: Springer Book Archive

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