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On Fundamental Solutions for Abstract
Some Transmutation Methods for Canonical Systems p
Periodic Solutions of Linear IntegroDifferential
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abstract analytic semigroup apply assume assumptions asymptotically Au(t Banach space belongs BOLOGNA University boundary bounded Cauchy problem closed linear operator condition consider constant continuous function continuous semigroup converges convex Corollary defined denote domain eigenvalue elliptic elliptic operator equations in Banach equicontinuous estimate evolution equations exists a unique exp(u(t Frechet lattice Frechet space Grisvard Hence Hilbert space holds hyperbolic operator hypotheses implies integral equation invertible Lemma linear operators Lipschitz Lipschitz continuous Math mild solution Moreover nonlinear nonnegative norm obtain Oharu parabolic equations partial differential equations periodic solution Prato proof of Theorem properties Proposition prove q-bounded Remark resolvent operator resp satisfies scattering frequencies second order semigroup semilinear sequence strong solution strongly continuous Theorem 3.1 theory topological vector lattice unique solution University of BOLOGNA value problem verified weak solution