Problems for the one-dimensional wave equation with conditionson characteristics and non-characteristic lines
Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 106-112
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We consider problems for the one-dimensional wave equation with conditions given on both characteristic lines and non-characteristic lines in the paper. We construct the unique classical solutions of these problems in analytical form by the method of characteristics and indicate necessary and sufficient smoothness and matching conditions on given functions.
@article{TIMB_2021_29_1_a9,
author = {V. I. Korzyuk and O. A. Kovnatskaya and V. P. Serikov},
title = {Problems for the one-dimensional wave equation with conditionson characteristics and non-characteristic lines},
journal = {Trudy Instituta matematiki},
pages = {106--112},
publisher = {mathdoc},
volume = {29},
number = {1},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a9/}
}
TY - JOUR AU - V. I. Korzyuk AU - O. A. Kovnatskaya AU - V. P. Serikov TI - Problems for the one-dimensional wave equation with conditionson characteristics and non-characteristic lines JO - Trudy Instituta matematiki PY - 2021 SP - 106 EP - 112 VL - 29 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a9/ LA - ru ID - TIMB_2021_29_1_a9 ER -
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V. I. Korzyuk; O. A. Kovnatskaya; V. P. Serikov. Problems for the one-dimensional wave equation with conditionson characteristics and non-characteristic lines. Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 106-112. http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a9/