Abstract parabolic problems with non-Lipschitz critical nonlinearities
Konrad J. Wąs
Colloquium Mathematicae, Tome 120 (2010), p. 203-223 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

The Cauchy problem for a semilinear abstract parabolic equation is considered in a fractional power scale associated with a sectorial operator appearing in the linear main part of the equation. Existence of local solutions is proved for non-Lipschitz nonlinearities satisfying a certain critical growth condition.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:284315 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-4,
     author = {Konrad J. W\k as},
     title = {Abstract parabolic problems with non-Lipschitz critical nonlinearities},
     journal = {Colloquium Mathematicae},
     volume = {120},
     year = {2010},
     pages = {203-223},
     zbl = {1213.35281},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-4}
}

Konrad J. Wąs. Abstract parabolic problems with non-Lipschitz critical nonlinearities. Colloquium Mathematicae, Tome 120 (2010) pp. 203-223. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-4/