L^p- L^q decay estimates of solutions to Cauchy problems of thermoviscoelastic systems |
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| Authors: | Lin Yang Li-hong Huang and Feng-lian Kuang |
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| Institution: | [1]College of Mathematics, Hunan University, Changsha 410082, China [2]The fourth middle school, Shaoyang, Shaoyang 422000, China |
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| Abstract: | L
p
? L
q
decay estimate of solution to Cauchy problem of a linear thermoviscoelastic system is studied. By using a diagonalization
argument of frequency analysis, the coupled system will be decoupled micrologically. Then with the help of the information
of characteristic roots for the coefficient matrix of the system, L
p
? L
q
decay estimate of parabolic type of solution to the Cauchy problem is obtained. |
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| Keywords: | L~p-L~q decay estimate Cauchy problem thermoviscoelastic system |
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