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.

Sommario

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.

Dettagli sul prodotto

• Autori: Dan Henry, Daniel Henry
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 01.01.1960
• EAN: 9783540105572
• ISBN: 978-3-540-10557-2
• Pagine: 350
• Dimensioni: 156 mm x 233 mm x 16 mm
• Peso: 562 g
• Illustrazioni: VI, 350 p.
• Serie: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi