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Evolutionary Integral Equations and Applications

Evolutionary Integral Equations and Applications

J. Pruss

65,77 €
IVA incluido
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Editorial:
Springer Nature B.V.
Año de edición:
2014
Materia
Ciencia: cuestiones generales
ISBN:
9783034896856
65,77 €
IVA incluido
Disponible

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During the last two decades the theory of abstract Volterra equations has under­ gone rapid development. To a large extent this was due to the applications of this theory to problems in mathematical physics, such as viscoelasticity, heat conduc­ tion in materials with memory, electrodynamics with memory, and to the need of tools to tackle the problems arising in these fields. Many interesting phenomena not found with differential equations but observed in specific examples of Volterra type stimulated research and improved our understanding and knowledge. Al­ though this process is still going on, in particular concerning nonlinear problems, the linear theory has reached a state of maturity. In recent years several good books on Volterra equations have appeared. How­ ever, none of them accounts for linear problems in infinite dimensions, and there­ fore this part of the theory has been available only through the - meanwhile enor­ mous - original literature, so far. The present monograph intends to close this gap. Its aim is a coherent exposition of the state of the art in the linear theory. It brings together and unifies most of the relevant results available at present, and should ease the way through the original literature for anyone intending to work on abstract Volterra equations and its applications. And it exhibits many prob­ lems in the linear theory which have not been solved or even not been considered, so far.

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Otros libros del autor

  • Evolutionary Integral Equations and Applications
    J. Prüss
    I Equations of Scalar Type.- 1 Resolvents.- 1.1 Well-posedness and Resolvents.- 1.2 Inhomogeneous Equations.- 1.3 Necessary Conditions for Well-posedness.- 1.4 Perturbed Equations.- 1.5 The Generation Theorem.- 1.6 Integral Resolvents.- 1.7 Comments.- 2 Analytic Resolvents.- 2.1 Definition and First Properties.- 2.2 Generation of Analytic Resolvents.- 2.3 Examples.- 2.4 Spatial...