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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