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arXiv · 1706.00803

Pseudo-differential operators in vector-valued spaces and applications

Veli Shakhmurov
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Abstract

Pseudo-differential operator equations with parameter are studied. Uniform separability properties and resolvent estimates are obtained in terms of fractional derivatives. Moreover, maximal regularity properties of the pseudo-differential abstract parabolic equation are established. Particularly, it is proven that the operators generated by these pseudo-differential equations are positive and aso are generators of analytic semigroups. As an application, the anisotropic parameter dependent pseudo-differential equations and the system of pseudo-differential equations are studied

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Veli Shakhmurov. 2017-05-22. Pseudo-differential operators in vector-valued spaces and applications. https://arxiv.org/abs/1706.00803

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