Abstract
Under consideration is the Cauchy problem in the space of continuous functions for a nonlinear strictly hyperbolic equation related to the generalized Boussinesq equation. We discuss the conditions for existence of a global classical solution and blow-up of a solution to the Cauchy problem on a finite time segment.
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Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 3, pp. 672–689. https://doi.org/10.33048/smzh.2022.63.315
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Umarov, K.G. Blow-Up and Global Solvability of the Cauchy Problem for a Pseudohyperbolic Equation Related to the Generalized Boussinesq Equation. Sib Math J 63, 559–574 (2022). https://doi.org/10.1134/S0037446622030156
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DOI: https://doi.org/10.1134/S0037446622030156
Keywords
- sixth order generalized Boussinesq equation
- nonlinear strictly pseudohyperbolic equation
- global solution
- blow-up