Geodesic
Regularity and optimal control of quasicoupled and coupled heating processes
Applications of Mathematics, Tome 41 (1996) no. 2, pp. 81-106

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Sufficient conditions for the stresses in the threedimensional linearized coupled thermoelastic system including viscoelasticity to be continuous and bounded are derived and optimization of heating processes described by quasicoupled or partially linearized coupled thermoelastic systems with constraints on stresses is treated. Due to the consideration of heating regimes being “as nonregular as possible” and because of the well-known lack of results concerning the classical regularity of solutions of such systems, the technique of spaces of Běsov-Sobolev type is essentially employed and the possibility of its use when solving optimization problems is studied.
Sufficient conditions for the stresses in the threedimensional linearized coupled thermoelastic system including viscoelasticity to be continuous and bounded are derived and optimization of heating processes described by quasicoupled or partially linearized coupled thermoelastic systems with constraints on stresses is treated. Due to the consideration of heating regimes being “as nonregular as possible” and because of the well-known lack of results concerning the classical regularity of solutions of such systems, the technique of spaces of Běsov-Sobolev type is essentially employed and the possibility of its use when solving optimization problems is studied.
DOI : 10.21136/AM.1996.134315
Classification : 35B65, 35M05, 35R05, 49J20, 49K20, 73U05, 74B05, 80A20
Keywords: heat equation; Lamé system; coupled system; viscoelasticity; optimal control; state space constraints; bounded stresses 
Jarušek, Jiří. Regularity and optimal control of quasicoupled and coupled heating processes. Applications of Mathematics, Tome 41 (1996) no. 2, pp. 81-106. doi: 10.21136/AM.1996.134315
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