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Angenent, S. B.

The Morse-Smale property for a semilinear parabolic equation. (English) Zbl 0581.58026

J. Differ. Equations 62, 427-442 (1986).
See the preview in Zbl 0548.58019.

Cited in 67 Documents

MSC:

37D15 Morse-Smale systems

Keywords:

infinite dimensional dynamical systems; parabolic PDE’s

Citations:

Zbl 0548.58019
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\textit{S. B. Angenent}, J. Differ. Equations 62, 427--442 (1986; Zbl 0581.58026)
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References:

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[3] Dieudonné, Foundations of modern analysis, (), 357, Ex. XI.7.3 · Zbl 0967.01024
[4] Hale, J.K, Dynamics in a parabolic equation an example, (), 461-472
[5] Hale, J.K; Magelhães, L.T; Oliva, W.M, An introduction to infinite dimensional dynamical systems—geometric theory, ()
[6] Henry, D, Geometric theory of semilinear parabolic equations, () · Zbl 0456.35001
[7] Lees, M; Protter, M.H, Unique continuation for parabolic differential equations and inequalities, Duke math. J., 28, 369-382, (1961) · Zbl 0143.33301
[8] Lions, J.L; Malgrange, B, Sur l’unicité rétrograde dans LES problèmes mixtes paraboliques, Math. scand., 8, 277-286, (1960) · Zbl 0126.12202
[9] Matano, H, Non increase of the lapnumber of a solution for a one dimensional semilinear parabolic equation, J. fac. sci. univ. Tokyo IA math., 29, No. 2, 401-441, (1982) · Zbl 0496.35011
[10] Pazy, A, Semigroups of linear operators and applications to partial differential equations, () · Zbl 0516.47023
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