Global solutions of abstract semilinear parabolic equations with memory terms View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2003-11

AUTHORS

Piermarco Cannarsa, Daniela Sforza

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. More... »

PAGES

399-430

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00030-003-1004-2

DOI

http://dx.doi.org/10.1007/s00030-003-1004-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1014859518


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