Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation
- Autores: Korpusov M.O.1, Mikhailenko S.1
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Afiliações:
- Faculty of Physics
- Edição: Volume 57, Nº 7 (2017)
- Páginas: 1167-1172
- Seção: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179281
- DOI: https://doi.org/10.1134/S0965542517030095
- ID: 179281
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Resumo
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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Sobre autores
M. Korpusov
Faculty of Physics
Autor responsável pela correspondência
Email: korpusov@gmail.com
Rússia, Moscow, 119991
S. Mikhailenko
Faculty of Physics
Email: korpusov@gmail.com
Rússia, Moscow, 119991
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