Geodesic
Nonexistence of Weak Solutions for Some Degenerate and Singular Hyperbolic Problems on $\mathbb R_+^{n+1}$
Informatics and Automation, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 248-267

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Theorems concerning the absence of weak solutions are proved for a wide class of evolution equations and inequalities. This class includes, in particular, the inequalities with degenerate and singular operators of hyperbolic type. 
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     author = {E. Mitidieri and S. I. Pohozaev},
     title = {Nonexistence of {Weak} {Solutions} for {Some} {Degenerate} and {Singular} {Hyperbolic} {Problems} on $\mathbb R_+^{n+1}$},
     journal = {Informatics and Automation},
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     year = {2001},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2001_232_a20/}
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E. Mitidieri; S. I. Pohozaev. Nonexistence of Weak Solutions for Some Degenerate and Singular Hyperbolic Problems on $\mathbb R_+^{n+1}$. Informatics and Automation, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 248-267. http://geodesic.mathdoc.fr/item/TRSPY_2001_232_a20/