Regularity of the Gurtin-Pipkin equation
Ivanov, Sergei A.
Original · EN
We study regularity of the solution θ to the Gurtin-Pipkin integral-differential equation of the first order in time. The solution smoothness in Sobolev spaces is proved. Also it is proved that the 'perturbation' part, namely, the difference of θ and the solution to the corresponding wave equation is smoother than θ.
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