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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2024, Issue 2(59), Pages 73–78
DOI: https://doi.org/10.54341/20778708_2024_2_59_73 (Mi pfmt969) 		 
MATHEMATICS

On the absence, non-uniqueness, and blow-up of classical solutions of mixed problems for the telegraph equation with a nonlinear potential

V. I. Korzyukab, J. V. Rudzkob

a Belarusian State University, Minsk
b Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk
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DOI: https://doi.org/10.54341/20778708_2024_2_59_73
Abstract: For the telegraph equation with a nonlinear potential given in the first quadrant, we consider the first and the second mixed problem, for which we study issues related to the absence, non-uniqueness, and blow-up of classical solutions.
Keywords: semilinear wave equation, mixed problem, classical solution, absence of solution, non-uniqueness of solution, blow-up of solution, method of characteristics, energy methods, matching conditions.
Received: 20.12.2023
Bibliographic databases:
Document Type: Article
UDC: 517.956.35
Language: English
Citation: V. I. Korzyuk, J. V. Rudzko, “On the absence, non-uniqueness, and blow-up of classical solutions of mixed problems for the telegraph equation with a nonlinear potential”, PFMT, 2024, no. 2(59), 73–78
Citation in format AMSBIB
\Bibitem{KorRud24}
\by V.~I.~Korzyuk, J.~V.~Rudzko
\paper On the absence, non-uniqueness, and blow-up of classical solutions of mixed problems for the telegraph equation with a nonlinear potential
\jour PFMT
\yr 2024
\issue 2(59)
\pages 73--78
\mathnet{http://mi.mathnet.ru/pfmt969}
\crossref{https://doi.org/10.54341/20778708_2024_2_59_73}
\edn{https://elibrary.ru/LGNECC}
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    		Проблемы физики, математики и техники
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