On initial boundary value problem with Dirichlet integral conditions for a hyperbolic equation with the Bessel operator
Bouziani, Abdelfatah
J. Appl. Math., Tome 2003 (2003) no. 1, p. 487-502 / Harvested from Project Euclid
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We consider a mixed problem with Dirichlet and integral conditions for a second-order hyperbolic equation with the Bessel operator. The existence, uniqueness, and continuous dependence of a strongly generalized solution are proved. The proof is based on an a priori estimate established in weighted Sobolev spaces and on the density of the range of the operator corresponding to the abstract formulation of the considered problem.
Publié le : 2003-09-24
Classification:  35L20,  35D05,  35B45,  35B30 
@article{1064850343,
     author = {Bouziani, Abdelfatah},
     title = {On initial boundary value problem with Dirichlet integral
conditions for a hyperbolic equation with the Bessel
operator},
     journal = {J. Appl. Math.},
     volume = {2003},
     number = {1},
     year = {2003},
     pages = { 487-502},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1064850343}
}

Bouziani, Abdelfatah. On initial boundary value problem with Dirichlet integral
conditions for a hyperbolic equation with the Bessel
operator. J. Appl. Math., Tome 2003 (2003) no. 1, pp.  487-502. http://gdmltest.u-ga.fr/item/1064850343/