Semilinear Cauchy Problems with Almost Sectorial Operators
Tomasz Dlotko
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007), p. 333-346 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Existence of a mild solution to a semilinear Cauchy problem with an almost sectorial operator is studied. Under additional regularity assumptions on the nonlinearity and initial data we also prove the existence of a classical solution to this problem. An example of a parabolic problem in Hölder spaces illustrates the abstract result.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:281185 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba55-4-5,
     author = {Tomasz Dlotko},
     title = {Semilinear Cauchy Problems with Almost Sectorial Operators},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {55},
     year = {2007},
     pages = {333-346},
     zbl = {1132.35406},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba55-4-5}
}

Tomasz Dlotko. Semilinear Cauchy Problems with Almost Sectorial Operators. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) pp. 333-346. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba55-4-5/