Geodesic
Theoretical analysis of cloaking problem for 3D model of heat conduction
Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 2, pp. 143-149

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The direct and extremal problems for the 3D heat conduction model are formulated which are associated with designing spherical thermal cloaking devices. The solvability of both problems is proved. An optimality system is constructed that describes the necessary conditions for an extremum. Some properties of optimal solutions which are consequence of the structure of the optimality system are established. 
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     author = {G. V. Alekseev},
     title = {Theoretical analysis of cloaking problem for {3D} model of heat conduction},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {143--149},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2022_22_2_a0/}
}
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G. V. Alekseev. Theoretical analysis of cloaking problem for 3D model of heat conduction. Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 2, pp. 143-149. http://geodesic.mathdoc.fr/item/DVMG_2022_22_2_a0/