Regularity of solutions of parabolic equations with coefficients depending on t and parameters

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Title

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Institute of Mathematics Technical University of Cracow Warszawska 24 31-155 Kraków, Poland

The main object of this paper is to study the regularity with respect to the parameter h of solutions of the problem

d \frac{u}{d t} + A_{h} (t) u (t) = f_{h} (t)

,

u (0) = u_{h}^{0}

. The continuity of u with respect to both h and t has been considered in [6].

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