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Bifurcation of periodic travelling waves for a reaction-diffusion system

Part of the Lecture Notes in Mathematics book series (LNM,volume 964)

Keywords

  • Travel Wave Solution
  • Implicit Function Theorem
  • Dominate Convergence Theorem
  • Nonlinear Parabolic System
  • Circular Solution

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References

  1. D.L. Barrow and P.W. Bates, Bifurcation and Stability of Periodic Travelling Waves for a Reaction-Diffusion System, to appear, J. Differential Equations.

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  2. M.G. Crandall and P.H. Rabinowitz, Bifurcation from Simple Eigenvalues, J. Functional Analysis 8 (1971), 321–340.

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  3. D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics vol. 840, Springer-Verlag, New York, 1981.

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  4. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966.

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  5. D.H. Sattinger, On the Stability of Waves of Nonlinear Parabolic Systems, Advances in Math. 22 (1976), 312–355.

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© 1982 Springer-Verlag

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Barrow, D.L., Bates, P.W. (1982). Bifurcation of periodic travelling waves for a reaction-diffusion system. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064988

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  • DOI: https://doi.org/10.1007/BFb0064988

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11968-5

  • Online ISBN: 978-3-540-39561-4

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