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Titlebook: Evolutionary Integral Equations and Applications; Jan Prüss Book 2012 Springer Basel 2012 dynamical problems.electrodynamics with memory.i

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https://doi.org/10.1007/978-1-4614-7215-5s on maximal regularity of type . are here extended to nonscalar equations. Particularly easy to verify are the conditions in the variational approach in Section 7.3 which continues the discussion begun in Section 6.7. The remaining subsections are devoted to a far reaching improvement of the pertur
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https://doi.org/10.1007/978-3-031-13924-6els for viscoelastic beams and plates are introduced and their well-posedness is studied by means of the results on Volterra equations of scalar type from Chapter I but also by those on equations of nonscalar type from this chapter. In Sections 9.3 and 9.4 two approaches to general linear thermovisc
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Vu Thi Thu,Hyoung Kyu Kim,Jin Hans discussion motivates the study of integrability of resolvents. For the classes of equations of scalar type introduced in Sections 2, 3, and 4 a complete characterization of integrability of .(.) in terms of spectral conditions is derived. For nonscalar parabolic problems sufficient conditions are
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Exercise and Sports PulmonologyThe subject of this section is the .-theory for parabolic equations with main part. The first three subsections prepare the approach via sums of commuting linear operators; the two basic results, i.e. a vector-valued Fourier-multiplier theorem and the Dore-Venni theorem, are stated without proof.
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https://doi.org/10.1007/978-981-16-4525-9The first three subsections are devoted to applications of the results of Sections 10, 11, and 12 to some of the problems introduced in Sections 5 and 9. These include the hyperbolic viscoelastic Timoshenko beam, heat conduction in isotropic materials with memory, and boundary value problems for electrodynamics with memory.
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Parabolic Problems in ,,-SpacesThe subject of this section is the .-theory for parabolic equations with main part. The first three subsections prepare the approach via sums of commuting linear operators; the two basic results, i.e. a vector-valued Fourier-multiplier theorem and the Dore-Venni theorem, are stated without proof.
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Further Applications and ComplementsThe first three subsections are devoted to applications of the results of Sections 10, 11, and 12 to some of the problems introduced in Sections 5 and 9. These include the hyperbolic viscoelastic Timoshenko beam, heat conduction in isotropic materials with memory, and boundary value problems for electrodynamics with memory.
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Evolutionary Integral Equations and Applications978-3-0348-0499-8Series ISSN 2197-1803 Series E-ISSN 2197-1811
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