Structural stability for time-periodic one-dimensional parabolic equations

Geometric Theory of Dynamical Systems: An Introduction.

Joel W. Robbin, Jacob Palis, Welington de Melo · American Mathematical Monthly · 1984 · 454 citations

Natural Sciences, Mathematics, Descriptive Geometry +16

Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations

Daniel Henry · Journal of Differential Equations · 1985 · 207 citations

Natural Sciences, Mathematics, Differential Equations +10

Convergence, asymptotic periodicity, and finite-point blow-up in one-dimensional semilinear heat equations

Xu-Yan Chen, Hiroshi Matano · Journal of Differential Equations · 1989 · 199 citations

Natural Sciences, Physics, Fluid Dynamics +15

A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations

Peter D. Lax · Communications on Pure and Applied Mathematics · 1956 · 150 citations

Natural Sciences, Mathematics, Differential Equations +12

The Morse-Smale property for a semi-linear parabolic equation

Sigurd Angenent · Journal of Differential Equations · 1986 · 139 citations

Natural Sciences, Mathematics, Differential Equations +6