The main purpose of this paper is to obtain the existence of global solutions to semilinear integro-differential equations in Hilbert spaces for rather general convolution kernels and nonlinear terms with superlinear growth at infinity. The included application to a nonlinear model of heat flow in materials of fading memory type provides motivations for the abstract theory.
Global solutions of abstract semilinear parabolic equations with memory terms / Piermarco, Cannarsa; Sforza, Daniela. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 10:4(2003), pp. 399-430. [10.1007/s00030-003-1004-2]
Global solutions of abstract semilinear parabolic equations with memory terms
SFORZA, Daniela
2003
Abstract
The main purpose of this paper is to obtain the existence of global solutions to semilinear integro-differential equations in Hilbert spaces for rather general convolution kernels and nonlinear terms with superlinear growth at infinity. The included application to a nonlinear model of heat flow in materials of fading memory type provides motivations for the abstract theory.File allegati a questo prodotto
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