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https://elib.bsu.by/handle/123456789/327886| Title: | Classical solution of an initial-boundary value problem with a mixed boundary condition and conjugation conditions for a mildly quasilinear wave equation |
| Authors: | Korzyuk, V. I. Rudzko, J. V. |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
| Issue Date: | 2025 |
| Publisher: | Минск : БГУ |
| Citation: | Математическое моделирование и дифференциальные уравнения : материалы V Междунар. науч. конф., посвящ. 100-летию со дня рождения чл.-кор. АН БССР Е. А. Иванова и доц. Н. И. Бриша, Минск, 17–19 дек. 2024 г. / Белорус. гос. ун-т ; редкол.: В. И. Корзюк (гл. ред.), О. А. Ковнацкая, И. С. Козловская. – Минск : БГУ, 2025. – С. 48-49. |
| Abstract: | We consider an initial-boundary value problem for a mildly quasilinear wave equation in the first quadrant in which we pose the Cauchy conditions on the spatial half-line, a mixed boundary condition on the time half-line, and conjugation conditions on some characteristics. We prove the uniqueness of the solution and establish the conditions under which a classical solution exists |
| URI: | https://elib.bsu.by/handle/123456789/327886 |
| ISBN: | 978-985-881-738-1 |
| Sponsorship: | The report was financially supported by the National Academy of Sciences of Belarus in the framework of implementing the scientific research program “Solutions of problems with non-smooth boundary conditions for hyperbolic equations” (agreement No 2024-25-141) and Ministry of Education of the Republic of Belarus & the National Academy of Sciences of Belarus in the framework of implementing the state scientific research program “Convergence–2025” (state reg. No 20212281). |
| Licence: | info:eu-repo/semantics/openAccess |
| Appears in Collections: | 2024. Математическое моделирование и дифференциальные уравнения |
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