Classical solutions for PDEs with nonautonomous past in
L<sup>p</sup>-Spaces

Fragnelli, Genni

Classical solutions for PDEs with nonautonomous past in L^p-Spaces

Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, p. 133-148 / Harvested from Project Euclid

Résumé

We study some partial differential equations with infinite delay which appear, for example, in models of population dynamics. Using the semigroup theory, we prove the existence of classical solutions of such equations.

Publié le : 2004-03-14
Classification: Partial differential equations, evolution semigroups, 47D06, 34K06

@article{1080056166,
     author = {Fragnelli, Genni},
     title = {Classical solutions for PDEs with nonautonomous past in
L<sup>p</sup>-Spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 133-148},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1080056166}
}

Fragnelli, Genni. Classical solutions for PDEs with nonautonomous past in
L^p-Spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, pp.  133-148. http://gdmltest.u-ga.fr/item/1080056166/