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Nonlinear Semigroups, Partial Differential Equations and Attractors

Proceedings of a Symposium held in Washington, DC, August 5-8, 1985

T.L. Gill, Woodford W. Zachary (Herausgeber)

Buch | Softcover

XII, 188 Seiten

1987 | 1987
Springer Berlin (Verlag)
978-3-540-17741-8 (ISBN)

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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.

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.

Erscheint lt. Verlag	6.5.1987
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XII, 188 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	286 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	Applied mathematics • differential equation • Dynamical Systems • group theory • manifold • nonlinear partial differential equation • partial differential equation • Semigroup • wave equation
ISBN-10	3-540-17741-8 / 3540177418
ISBN-13	978-3-540-17741-8 / 9783540177418
Zustand	Neuware