Hyperbolic Equations in Uniform Spaces
J. W. Cholewa ; Tomasz Dlotko
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 249-263 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

The paper is devoted to the Cauchy problem for a semilinear damped wave equation in the whole of ℝ ⁿ. Under suitable assumptions a bounded dissipative semigroup of global solutions is constructed in a locally uniform space Ḣ¹lu(ℝⁿ)×L̇²lu(ℝⁿ). Asymptotic compactness of this semigroup and the existence of a global attractor are then shown.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280998 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-5,
     author = {J. W. Cholewa and Tomasz Dlotko},
     title = {Hyperbolic Equations in Uniform Spaces},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {52},
     year = {2004},
     pages = {249-263},
     zbl = {1098.35110},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-5}
}

J. W. Cholewa; Tomasz Dlotko. Hyperbolic Equations in Uniform Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 249-263. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-5/