T. I. Zelenyak & M. P. Vishnevskii 
Qualitative Theory of Parabolic Equations, Part 1 [PDF ebook] 

I-IV — Contents — Introduction. — Chapter 1 Local behavior of solutions of boundary-value problems for nonlinear parabolic systems in the neighborhood of a stationary or periodic solution. — Chapter 2 Construction of Liapunov’s functionals in the case of one spatial variable. — Chapter 3 The behavior of solutions of one-dimensional nonlinear problems over extended time. — Chapter 4 The stability criterion for the trivial solution to the mixed problem for the second order parabolic equation. — Chapter 5 The attraction domains of stable stationary or stable periodic solutions. — Chapter 6 On stabilization of mixed problem solutions for autonomous quasilinear parabolic equations. — Appendix. — Bibliography