Investigation of the nonlocal initial boundary value problems for some hyperbolic equations
Gordeziani, David ; Avalishvili, Gia
Hiroshima Math. J., Tome 31 (2001) no. 2, p. 345-366 / Harvested from Project Euclid
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In the present article we are interested in the analysis of nonlocal initial boundary value problems for some medium oscillation equations. More precisely, we investigate different types of nonlocal problems for one-dimensional oscillation equations and prove existence and uniqueness theorems. In some cases algorithms for direct construction of the solution are given. We also consider nonlocal problem for multidimensional hyperbolic equation and prove the uniqueness theorem for the formulated initial boundary value problem applying the theory of characteristics under rather general assumptions.
Publié le : 2001-11-14
Classification:  35L20 
@article{1151105723,
     author = {Gordeziani, David and Avalishvili, Gia},
     title = {Investigation of the nonlocal initial boundary value problems for some hyperbolic equations},
     journal = {Hiroshima Math. J.},
     volume = {31},
     number = {2},
     year = {2001},
     pages = { 345-366},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1151105723}
}

Gordeziani, David; Avalishvili, Gia. Investigation of the nonlocal initial boundary value problems for some hyperbolic equations. Hiroshima Math. J., Tome 31 (2001) no. 2, pp.  345-366. http://gdmltest.u-ga.fr/item/1151105723/