Abstract
Recent results on the stability of equilibrium solutions of a parabolic equation are given with indications of the proofs. Particular attention is devoted to dependence of the stability properties on the shape of the domain and the manner in which nonhomogeneous stable equilibria can occur through a bifurcation induced by varying the domain.
This research was supported in part by the National Science Foundation under MCS-79-0-774, in part by the United States Army under AROD DAAG 27-79-C-0161, and in part by the United States Air Force under AF-AFOSR 76-3092C.
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© 1981 Springer-Verlag
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Hale, J.K. (1981). Stability and bifurcation in a parabolic equation. In: Rand, D., Young, LS. (eds) Dynamical Systems and Turbulence, Warwick 1980. Lecture Notes in Mathematics, vol 898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091911
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DOI: https://doi.org/10.1007/BFb0091911
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