Titlebook: Evolution Equations, Semigroups and Functional Analysis; In Memory of Brunell Alfredo Lorenzi,Bernhard Ruf Book 2002 Springer Basel AG 2002

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On Generators of Noncommuting Semigroups: Sums, Interpolation, Regularity,Let .(.) → .: .(.) → Ibe densely defined linear operators in general Banach space ., satisfying

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Well-posedness for Nonautonomous Abstract Cauchy Problems,We first summarize some well-known, however instructive facts from the theory of autonomous abstract Cauchy problems for a closed operator (.,.(.)) on some Banach space . (compare [5], Chapter II.6).

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https://doi.org/10.1007/978-3-0348-8221-7Banach space; Cauchy problem; Volume; convergence; differential equation; dynamical systems; form; function

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A Degenerate Two-point Problem,on negative constant, B.] ∈ .(.), the space of all bounded linear operators from . into itself, ..*, . are closed linear operators from if into itself, 0 ∈ .(..), with domain .(L.) ? .(..),. 0,1, .,. ∈ ..(0, τ;.), yo ∈ .(..),.. ∈ .(..) are given. No assumption is made on the invertibil-ity of the op

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Uniform Attractors of Nonautonomous Dynamical Systems with Memory,described by a nonlinear dynamical system, then it is usually difficult to predict whether or not the system will evolve towards a stationary state or it will exhibit a chaotic behavior. The sensibility to the initial conditions and to the parameters characterizing the nonlinear system show that a c

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Hadamard Well-posedness of Weak Solutions in Nonlinear Dynamic Elasticity-full von Karman Systems,tion in the literature [11, 5, 24, 33, 16, 15, 14, 8]. Their importance stems from the fact that many physical phenomena related to oscillation theory are described by dynamic elastic models. Propagation of waves, oscillations and vibrations of membranes, plates, shells, etc. are governed by nonline

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,Applications des sommes d’opérateurs dans l’étude du comportement singulier des solutions dans les r par exemple Agmon-Douglis-Nirenberg [1], [2] pour les ouverts réguliers, Grisvard [9], Dauge [7] et Kondratiev [11] pour les ouverts à points singuliers. On montre que la solution variationnelle (lorsqu’elle existe) s’écrit sous forme où . a la régularité optimale .. (.) et .. s’écrit explicitemen