Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

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.

About the authors

M. O. Korpusov

Faculty of Physics

Author for correspondence.
Email: korpusov@gmail.com
Russian Federation, Moscow, 119991

S. Mikhailenko

Faculty of Physics

Email: korpusov@gmail.com
Russian Federation, Moscow, 119991

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2017 Pleiades Publishing, Ltd.