On the initial time behavior of spatial derivatives for solutions of the parabolic Cauchy problem
The continuity of the spatial derivatives for solutions of the parabolic Cauchy problem is established down to the initial time under the assumption that the initial data and coefficients are sufficiently smooth.
35K15 Key words and phrasesParabolic Cauchy problem spatial derivatives initial time behavior
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- Levi E. E.,Sulle equazioni lineari totalmente ellittiche alle derivate parziali, Rend. del Circ. Mat. Palermo,24 (1907), 275–317.Google Scholar