Henry Dan. Geometric Theory of Semilinear Parabolic Equations

Springer, 1981. — 352 p. — (Lecture Notes in Mathematics 840). — ISBN: 978-3-540-10557-2, 978-3-540-38528-8.Preliminaries
Examples of nonlinear parabolic equations in physical, biological and engineering problems
Existence, uniqueness and continuous dependence
Dynamical systems and liapunov stability
Neighborhood of an equilibrium point
Invariant manifolds near an equilibrium point
Linear nonautonomous equations
Neighborhood of a periodic solution
The neighborhood of an invariant manifold
Two examples