Geodesic
On the absence, non-uniqueness, and blow-up of classical solutions of mixed problems for the telegraph equation with a nonlinear potential
Problemy fiziki, matematiki i tehniki, no. 2 (2024), pp. 73-78.

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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, non-uniqueness of solution, blow-up of solution, method of characteristics, energy methods, matching conditions.
Mots-clés : absence of solution 
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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. Problemy fiziki, matematiki i tehniki, no. 2 (2024), pp. 73-78. http://geodesic.mathdoc.fr/item/PFMT_2024_2_a12/

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