Well-posedness for a fourth-order equation of Moore-Gibson-Thompson type

Lizama Carlos and Murillo Marina: Well-posedness for a fourth-order equation of Moore-Gibson-Thompson type. (2021)

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Abstract

In this paper, we completely characterize, only in terms of the data, the well-posedness of a fourth order abstract evolution equation arising from the Moore– Gibson–Thomson equation with memory. This characterization is obtained in the scales of vector-valued Lebesgue, Besov and Triebel–Lizorkin function spaces. Our characterization is flexible enough to admit as examples the Laplacian and the fractional Laplacian operators, among others. We also provide a practical and general criteria that allows L p–L q -well-posedness.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 81
ISSN: 1417-3875
Number of Pages: 18
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2021.1.81
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 16-18. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2022. May. 23. 11:50
Last Modified: 2022. May. 23. 13:15
URI: http://acta.bibl.u-szeged.hu/id/eprint/75802

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