Exact controllability of a semilinear thermoelastic system with control and nonlinearity in thermal component only |
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| Authors: | Nutan Kumar Tomar N Sukavanam |
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| Institution: | Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India |
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| Abstract: | A result concerning the exact controllability of semilinear thermoelastic system, in which the control and nonlinear term occurs solely in the thermal equation, is derived under the influence of rotational inertia and Lipschitz nonlinearity, subject to the clamped/Dirichlet boundary conditions. In the proof we make use the result given by Avalos G. Differential and Integral Equations, 13 (2000), 613-630] which states that the corresponding linear system is exact controllable. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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