8th International Conference on
Computational Harmonic Analysis

September 12-16, 2022

Ingolstadt, Germany

"Regularity in Besov spaces of parabolic PDEs"

Schneider, Cornelia

This talk is concerned with the regularity of solutions to parabolic evolution equations. Special attention is paid to the smoothness in a specific scale of Besov spaces, the so-called adaptivity scale. The regularity in these spaces determines the approximation order that can be achieved by adaptive approximation schemes. As a special example we highlight the heat equation.

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