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arXiv · 1910.09371

Abstract elliptic and parabolic equat{\i}ons in Morrey spaces and applications

Alessandra Ragusa·Veli Shakhmurov
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Abstract

We presents the study the separability properties for differential-operator equations in Morrey spaces. We prove that the corresponding differential operator is a generator of analytic semigroup in vector-valued Morrey spaces. Moreover, maximal regularity properties of corresponding parabolic equation {\i}s obtained. In applications, the maximal regularity properties of Wentzell-Robin type problem for elliptic equations and mixed value problem for degenerate parabolic equations in Morrey spaces are derived.

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Alessandra Ragusa, Veli Shakhmurov. 2019-10-18. Abstract elliptic and parabolic equat{\i}ons in Morrey spaces and applications. https://arxiv.org/abs/1910.09371

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