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

V. I. Korzyuk; J. V. Rudzko

Geodesic

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

V. I. Korzyuk ; J. V. Rudzko

Problemy fiziki, matematiki i tehniki, no. 2 (2024), pp. 73-78

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

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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     title = {On the absence, non-uniqueness, and blow-up of classical solutions of mixed problems for the telegraph equation with a nonlinear potential},
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     publisher = {mathdoc},
     number = {2},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2024_2_a12/}
}

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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/