Lizama Carlos and Murillo Marina: Well-posedness for a fourth-order equation of Moore-Gibson-Thompson type. (2021)
Teljes mű
ejqtde_2021_081.pdf Download (498kB) |
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 |
Actions (login required)
View Item |