C∞-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space
Akisato Kubo ; Michael Reissig
Banach Center Publications, Tome 60 (2003), p. 131-150 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

In this paper we prove the C∞-well posedness of the Cauchy problem for quasi-linear hyperbolic equations of second order with coefficients non-Lipschitz in t ∈ [0,T] and smooth in x ∈ ℝⁿ.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:282536 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-11,
     author = {Akisato Kubo and Michael Reissig},
     title = {$C^{$\infty$}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space},
     journal = {Banach Center Publications},
     volume = {60},
     year = {2003},
     pages = {131-150},
     zbl = {1035.35083},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-11}
}

Akisato Kubo; Michael Reissig. $C^{∞}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space. Banach Center Publications, Tome 60 (2003) pp. 131-150. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-11/