Ebook: Geometric Theory of Semilinear Parabolic Equations

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.

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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.
Content:
Front Matter....Pages -
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
Back Matter....Pages -

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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.
Content:
Front Matter....Pages -
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
Back Matter....Pages -
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