Differential equations in Banach spaces : proceedings of a conference held in Bologna, July 2-5, 1985

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Differential equations in Banach spaces : proceedings of a conference held in Bologna, July 2-5, 1985

edited by A. Favini and E. Obrecht

(Lecture notes in mathematics, 1223)

Springer-Verlag, c1986

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Table of Contents

On fundamental solutions for abstract parabolic equations.- On some singular nonlinear evolution equations.- Some transmutation methods for canonical systems.- Scattering frequencies for time - Periodic scattering problems.- Periodic solutions for linear integrodifferential equations with infinite delay in Banach spaces.- Linearized stability for nonlinear semigroups.- On a class of semilinear parabolic equations in L1.- On a singular non-autonomous equation in Banach spaces.- On the spectrum of certain systems of linear evolution equations.- Some extensions of Thomas-Fermi theory.- The extent of spatial regularity for parabolic integrodifferential equations.- An approach to the singular solutions of elliptic problems via the theory of differential equations in Banach spaces.- A two point problem for a second order abstract differential equation.- "Sharp" regularity results for mixed hyperbolic problems of second order.- C? regularity for fully nonlinear abstract evolution equations.- Semilinear evolution equations in Frechet spaces.- On some singular hyperbolic evolution equations in Hilbert spaces.- Periodic solutions of the thermostat problem.- Some questions on the integrodifferential equation u?=AK*u+BM*u.- On fuchsian hyperbolic partial differential equations.- Global solutions to evolution equations of parabolic type.- Compact perturbations of weakly equicontinuous semigroups.- Cosine families of operators and applications.- Regularity of functions on an interval with values in the space of fractional powers of operators.

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