Geometric Theory of Semilinear Parabolic Equations (Lecture Notes in Mathematics (Springer-Verlag), 840.)

Contents : Examples of Nonlinear Parabolic Equations in Physical, Biological and Engineering Problems.- Existence, Uniqueness and Continuous Dependence.- Dynamical Systems and Liapunov Stability.- Neighbourhood of an Equilibrium Point.- Invariant Manifolds Near an Equilibrium Point.- Linear Nonautonomous Equations.- Neighbourhood of a Periodic Solution.- Neighbourhood of an Invariant Manifold. Introduction....Pages 1-2 Preliminaries....Pages 3-40 Examples of nonlinear parabolic equations in physical, biological and engineering problems....Pages 41-46 Existence, uniqueness and continuous dependence....Pages 47-81 Dynamical systems and liapunov stability....Pages 82-97 Neighborhood of an equilibrium point....Pages 98-142 Invariant manifolds near an equilibrium point....Pages 143-187 Linear nonautonomous equations....Pages 188-246 Neighborhood of a periodic solution....Pages 247-274 The neighborhood of an invariant manifold....Pages 275-313 Two examples....Pages 314-330 This volume on geometric theory of semilinear parabolic equations includes chapters on dynamical systems and Liapunov stability, linear non-autonomous equations, and invarient manifolds near and equilibrium point. Dan Henry. Includes Index. Bibliography: P. [335]-342.