Fractional powers approach of operators for abstract evolution equations of third order in time

Flank D.M Bezerra,Lucas A Santos

doi:10.1016/j.jde.2020.04.020

Fractional powers approach of operators for abstract evolution equations of third order in time

Flank D.M Bezerra, Lucas A Santos

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https://doi.org/10.1016/j.jde.2020.04.020

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Journal: Journal of Differential Equations	Publication Date: Apr 14, 2020
Citations: 11	License type: cc-by-nd

Affiliation: Instituto Federal de Educação Ciência e Tecnologia da Paraíba, Universidade Federal da Paraíba

#Evolution Equations Of Third Order #Third Order In Time + Show 8 more

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Abstract

In this paper we consider approximations of a class of third order linear evolution equations in time governed by fractional powers. We explicitly calculate the fractional powers of matricial operators associated with evolution equations of third order in time, and we characterize the partial scale of the fractional power of order spaces associated with these operators. As an application, we present parabolic approximations of the Moore-Gibson-Thompson type equations.

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