Volterra Integrodifferential Equations in Banach Spaces and ApplicationsGiuseppe Da Prato, Mimmo Iannelli |
Contents
W Arendt H Kellermann | 21 |
Chipot G VergaraCaffarelli | 52 |
Ph Clément 0 Diekmann M Gyllenberg H J A M Heijmans H R Thieme | 67 |
Copyright | |
4 other sections not shown
Other editions - View all
Common terms and phrases
abstract Cauchy problem Anal analytic applications assume assumptions asymptotic Au(t Banach space boundary conditions bounded linear operator Cauchy problem closed linear operator compact consider constant continuous function continuously differentiable converges convex cosine Dafermos defined denote equations in Banach estimate exists a unique finite given Hilbert space holds Hrusa hyperbolic implies inequality initial integral equation integrated semigroup J.A. Nohel Laplace transform Lemma Lipschitz Lipschitz continuous Math n-times integrated nonlinear norm obtain parabolic partial differential equations perturbations positive kernel Prato proof of Theorem propagation properties Proposition prove Pruss regularity Renardy resolvent result satisfies Schappacher Section semigroup smooth solution of 1.1 strict solution strong solution strongly continuous Suppose t₁ Theorem 3.1 theory To(t u₁ unique solution Università value problem viscoelasticity Volterra equations Volterra integrodifferential equations weak solution yields