Titlebook: Nonlinear Semigroups, Partial Differential Equations and Attractors; Proceedings of a Sym Tepper L. Gill,Woodford William Zachary Conferenc

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Global existence for semilinear parabolic systems via Lyapunov type methods, if the vector field f satisfies a generalized Lyapunov type condition then either at least two components of the solution of (1) becomes unbounded in finite time or the solution exists for all t>0. Our result generalizes a recent result of Hollis, Martin, and Pierre [4], and the proof given is considerably simpler.

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A survey of local existence theories for abstract nonlinear initial value problems,d also the importance of assuming or not assuming that . is continuous in .. Other topics include Carathéodory conditions, uniqueness, semigroups, semicontinuity, subtangential conditions, limit solutions, continuous dependence of . on ., and bijections between . and ..

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The transient semiconductor problem with generation terms, II,., .), coupled with the map . ? . defined by the Poisson equation at each .. The analysis leads to existence of solutions for all time as well as uniqueness (and continuous dependence on data) under stronger conditions.

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Nonlinear Semigroups, Partial Differential Equations and Attractors978-3-540-46679-6Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Spectrum estimations for the generalized quantum Henon-Heiles system,We propose an explicit unitary discretization of the Heisenberg equations associated to a general quantum system with two degrees of freedom. In the framework of this approximation we extract information related to the energy spectrum of the generalized quantum Henon-Heiles system.