Geodesic
Solvability of characteristic boundary-value problems for nonlinear equations with iterated wave operator in the principal part
Electronic journal of differential equations, Tome 2008 (2008)
A characteristic boundary-value problem for a hyperbolic equation with power nonlinearity and iterated wave operator in the principal part is considered in a conical domain. Depending on the exponent of nonlinearity and spatial dimensionality of the equation, the existence and uniqueness of the solution of a boundary-value problem is established. The non-solvability of this problem is also considered here.
Classification : 35L05, 35L35, 35L75
Keywords: characteristic boundary-value problem, hyperbolic equations, wave operator, power nonlinearity, nonexistence 
@article{EJDE_2008__2008__a27,
     author = {Kharibegashvili,  Sergo and Midodashvili,  Bidzina},
     title = {Solvability of characteristic boundary-value problems for nonlinear equations with iterated wave operator in the principal part},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1173.35613},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a27/}
}
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%J Electronic journal of differential equations
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Kharibegashvili,  Sergo; Midodashvili,  Bidzina. Solvability of characteristic boundary-value problems for nonlinear equations with iterated wave operator in the principal part. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a27/