Parabolic Besov Regularity for the Heat Equation

Hugo Aimar, Ivana Gómez


We obtain parabolic Besov smoothness improvement for temperatures on cylindrical regions based on Lipschitz domains. The results extend those for harmonic functions obtained by S. Dahlke and R. DeVore in “Besov regularity for elliptic boundary value problems” published in Communications in Partial Differential Equations 22, no.1-2, 1-16, 1997.

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