Geodesic
Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1170-1175 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Cauchy problem for a second-order nonlinear equation with mixed derivatives is considered. It is proved that its classical local-in-time solution does not exist. The blow-up of the solution is proved by applying S. I. Pohozaev and E. L. Mitidieri's nonlinear capacity method. 
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     title = {Instantaneous blow-up of classical solutions to the {Cauchy} problem for the {Khokhlov{\textendash}Zabolotskaya} equation},
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M. O. Korpusov; S. G. Mikhailenko. Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1170-1175. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a7/

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