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Showing 1 to 3 of 3 for “"operator semigroup"”.
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Asymptotic properties of solutions of a KdV-Burgers equation with localized dissipation
… formula and explicit representation of the operator semigroup associated with the linearized equation that, under appropriate assumption appropriate assumption on initial states w(x, 0), the nonlinear system is well-posed and its solutions decay exponentially to the mean value of the initial …
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A semigroup/Laplace transform approach to approximating flows
… known that all flows in a state space O induce a semigroup of linear operators on an appropriately chosen vector space of functions (observables) from O into a vector space Z (observations). After choosing appropriate continuity assumptions on the flow, the associated semigroup will be strongly …
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Evolution Semigroups for Well-Posed, Non-Autonomous Evolution Families
… this dissertation is to expand Berhard Koopman's operator theoretic global linearization approach to the study of nonautonomous flows. Given a system with states x in a set \Omega (the state space), a map t\to \gamma(t,s,x) (t\geq s \geq 0) is called a global flow if it describes the time …