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Nonlinear semigroups, partial differential equations, and attractors : proceedings of a symposium held in Washington, D.C., August 5-8, 1985 / edited by T.L. Gill and W.W. Zachary.

Contributor(s): Gill, T. L. (Tepper L.), 1941- | Zachary, W. W, 1935- | Symposium on Nonlinear Semigroups, Partial Differential Equations, and Attractors (1985 : Howard University)
Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag): 1248.Publisher: Berlin ; New York : Springer-Verlag, ©1987Description: 1 online resource (ix, 185 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540477914; 3540477918Subject(s): Semigroups of operators -- Congresses | Differential equations, Partial -- Congresses | Nonlinear operators -- Congresses | Attractors (Mathematics) -- Congresses | Semi-groupes d'opérateurs -- Congrès | Équations aux dérivées partielles -- Congrès | Opérateurs non linéaires -- Congrès | Dynamique différentiable -- Congrès | Attractors (Mathematics) | Differential equations, Partial | Nonlinear operators | Semigroups of operators | Nichtlineares dynamisches System | KongressGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Nonlinear semigroups, partial differential equations, and attractors.DDC classification: 510 s | 515.7/248 LOC classification: QA3 | .L28 no. 1248 | QA329.8Online resources: Click here to access online
Contents:
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.
Summary: 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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Includes bibliographical references.

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.

Print version record.

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.

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