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Behaviour of a semilinear periodic-parabolic problem when a parameter is small

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Functional-Analytic Methods for Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1450))

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References

  1. N.Alikakos-P. Hess: On a singularly perturbed semilinear periodic-parabolic problem. Preprint.

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  2. H. Berestycki-P.L. Lions: Some applications of the method of sub-and supersolutions. In: Bifurcation and nonlinear eigenvalue problems, Springer Lecture Notes in Mathematics 782 (1980), pp. 16–41.

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  3. E.N. Dancer-P. Hess: On stable solutions of quasilinear periodic-parabolic problems. Annali Sc. Norm. Sup. Pisa 14 (1987), pp. 123–141.

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  4. P. Hess-H. Weinberger: Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses J. Math. Biology 28 (1990), pp. 83–98.

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  5. O. Ladyzhenskaya, V. Solonnikov, N. Ural'ceva: Linear and quasilinear equations of parabolic type. Amer. Math. Soc., Providence 1968.

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  6. M. Protter-H. Weinberger: Maximum principles in differential equations. Prentice Hall, Englewood Cliffs 1967.

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  7. D. Sattinger: Topics in stability and bifurcation theory. Springer Lectures Notes in Mathematics 309 (1973).

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  8. G. Stampacchia: Equations elliptiques du second ordre à coefficients discontinus. Université de Montreal Presses 1966.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of New England, 2361, Armidale, N.S.W., Australia

    E. N. Dancer

  2. Mathematics Institute, University of Zurich, Rämistrasse 74, CH-8001, Zurich, Switzerland

    P. Hess

Authors
  1. E. N. Dancer
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  2. P. Hess
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Hiroshi Fujita Teruo Ikebe Shige Toshi Kuroda

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© 1990 Springer-Verlag

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Dancer, E.N., Hess, P. (1990). Behaviour of a semilinear periodic-parabolic problem when a parameter is small. In: Fujita, H., Ikebe, T., Kuroda, S.T. (eds) Functional-Analytic Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 1450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084895

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  • DOI: https://doi.org/10.1007/BFb0084895

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53393-1

  • Online ISBN: 978-3-540-46818-9

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