Matching conditions for values of characteristic oblique derivative at the end of a string, initial data and right-hand side of the wave equation
Abstract
Sufficient matching conditions the time-dependent characteristic first derivatives in the boundary mode with the initial conditions and the more general vibration equation of a semi-bounded string are derived in the sets of solutions of all higher order smoothness orders. They generalize the previously found sufficient matching conditions in the case of a similar mixed problem for the simplest string vibration equation. The characteristic of non-stationary first oblique derivatives in the boundary mode means that at each moment of time they are directed along the critical characteristic.
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Published
2020-03-29
Keywords:
mixed problem, characteristic first oblique derivative, initial conditions, smoothness requirements, matching conditions
How to Cite
Ustilko, E. V., & Lomovtsev, F. E. (2020). Matching conditions for values of characteristic oblique derivative at the end of a string, initial data and right-hand side of the wave equation. Journal of the Belarusian State University. Mathematics and Informatics, 1, 30-37. https://doi.org/10.33581/2520-6508-2020-1-30-37
Section
Differential Equations and Optimal Control
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