Abstract
In this paper, we prove maximal $L^p$-regularity for a system of parabolic PDEs, where the elliptic operator $A$ has coefficients which depend on time in a measurable way and are continuous in the space variable. The proof is based on operator-theoretic methods and one of the main ingredients in the proof is the construction of an evolution family on weighted $L^q$-spaces.
Citation
Chiara Gallarati. Mark Veraar. "Evolution families and maximal regularity for systems of parabolic equations." Adv. Differential Equations 22 (3/4) 169 - 190, March/April 2017. https://doi.org/10.57262/ade/1487386866
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