Mixed problem with integral conditions for a certain class of hyperbolic equations

Mesloub, Said; Bouziani, Abdelfatah

J. Appl. Math., Tome 1 (2001) no. 2, p. 107-116 / Harvested from Project Euclid

Résumé

We study a mixed problem with purely integral conditions for a class of two-dimensional second-order hyperbolic equations. We prove the existence, uniqueness, and the continuous dependence upon the data of a generalized solution. We use a functional analysis method based on a priori estimate and on the density of the range of the operator generated by the considered problem.

Publié le : 2001-05-14
Classification: 35L20

@article{1047575733,
     author = {Mesloub, Said and Bouziani, Abdelfatah},
     title = {Mixed problem with integral conditions for a certain class of hyperbolic equations},
     journal = {J. Appl. Math.},
     volume = {1},
     number = {2},
     year = {2001},
     pages = { 107-116},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047575733}
}

Mesloub, Said; Bouziani, Abdelfatah. Mixed problem with integral conditions for a certain class of hyperbolic equations. J. Appl. Math., Tome 1 (2001) no. 2, pp.  107-116. http://gdmltest.u-ga.fr/item/1047575733/