Abstract
We examine an initial-value problem for a certain higher-order quasilinear partial differential equation. Expressing the partial differential operator as the superposition of first-order operators, we apply methods of solution of first-order equations. We prove the unique solvability of the initial-value problem considered.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 156, Mathematical Analysis, 2018.
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Yuldashev, T.K., Shabadikov, K.K. Initial-Value Problem for a Higher-Order Quasilinear Partial Differential Equation. J Math Sci 254, 811–822 (2021). https://doi.org/10.1007/s10958-021-05343-0
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DOI: https://doi.org/10.1007/s10958-021-05343-0
Keywords and phrases
- initial-value problem
- characteristics
- directional derivative
- superposition of differential operators
- unique solvability