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Regularity of the Gurtin-Pipkin equation by Ivanov, Sergei A. is a scholarly article available to read on EtoBox.

What is Regularity of the Gurtin-Pipkin equation about?

We study regularity of the solution $\theta$ 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 $\theta$ and the solution to the corresponding wave equation is smoother than $\theta$.

Author

Ivanov, Sergei A.

Published

2012

Language

EN