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.
Article PDF
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cannarsa, P., Sforza, D. Global solutions of abstract semilinear parabolic equations with memory terms. NoDEA 10, 399–430 (2003). https://doi.org/10.1007/s00030-003-1004-2
Issue Date:
DOI: https://doi.org/10.1007/s00030-003-1004-2