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Record Nr. |
UNISA996466502303316 |
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Titolo |
Nonlinear semigroups, partial differential equations and attractors : proceedings of a symposium held in Washington, DC, August 5-8 1985 / / edited by T. L. Gill, Woodford W. Zachary |
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Pubbl/distr/stampa |
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Berlin ; ; Heidelberg : , : Springer-Verlag, , [1987] |
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©1987 |
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ISBN |
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Edizione |
[1st ed. 1987.] |
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Descrizione fisica |
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1 online resource (XII, 188 p.) |
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Collana |
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Lecture Notes in Mathematics ; ; 1248 |
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Classificazione |
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Disciplina |
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Soggetti |
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Group theory |
Differential equations, Partial |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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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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Sommario/riassunto |
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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. |
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