Nonlinear Semigroups, Partial Differential Equations and Attractors

Proceedings of a Symposium held in Washington, DC, August 5-8, 1985
Herausgegeben:Gill, T. L.; Zachary, Woodford W.

• Broschiertes Buch

Produktbeschreibung

The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.

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Produktdetails

• Lecture Notes in Mathematics 1248
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-17741-8
• 1987
• Seitenzahl: 196
• Erscheinungstermin: 6. Mai 1987
• Englisch
• Abmessung: 235mm x 155mm x 11mm
• Gewicht: 328g
• ISBN-13: 9783540177418
• ISBN-10: 3540177418
• Artikelnr.: 23887948

Inhaltsangabe

Convergence properties of strongly-damped semilinear wave equations.- Numerical solution of certain nonlinear parabolic partial differential equations.- The explicit solution of nonlinear ordinary and partial differential equations I. Conceptual ideas.- Uniform boundness and genralized inverses in liapunov-schmidt method for subharmonics.- Existence of radially symmetric solutions of strongly damped wave equations.- Strongly damped semilinear second order equations.- Nonlinear semigroup theory and viscosity solutions of Hamilton-Jacobi PDE.- Evolution equations with nonlinear boundary conditions.- Asymptotically smooth semigroups and applications.- The principle of spatial averaging and inertial manifolds for reaction-diffusion equations.- Applications of semigroup theory to reaction-diffusion systems.- Ultrasingularities in nonlinear waves.- A reaction-hyperbolic system in physiology.- Compact perturbations of linear m-dissipative operators which lack Gihman's property.- Two compactness lemmas.- The riccati equation: When nonlinearity reduces to linearity.