TY  - JOUR
T1  - Study and suppression of singularities in wave-type evolution equations on non-convex domains with cracks
AU  - Seck, Cheikh
PY  - 2022
DA  - December
Y2  - 2022
DO  - 10.31801/cfsuasmas.1049893
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 1180
EP  - 1203
VL  - 71
IS  - 4
LA  - en
AB  - One of the objectives of this paper is to establish the exact controllability for wave-type evolution equations on non-convex and/or cracked domains with non-concurrent support crack lines. Admittedly, we know that according to the work of Grisvard P., in domains with corners or cracks, the formulas of integrations by parts are subject to geometric conditions: the lines of cracks or their supports must be concurrent. In this paper, we have established the exact controllability for the wave equation in a domain with cracks without these additional geometric conditions.
KW  - Control
KW  - controllability
KW  - norms estimations
KW  - singularities
KW  - cracks
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 https://doi:10.1002/mana.201800077
UR  - https://doi.org/10.31801/cfsuasmas.1049893
L1  - https://dergipark.org.tr/en/download/article-file/2162819
ER  -