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Existence and well-posed results for nonclassical diffusion systems with nonlocal diffusion
Existence and well-posed results for nonclassical diffusion systems with nonlocal diffusion
| dc.contributor.author | Nguyen Huy Tuana,b, Donal O’Reganc, Nguyen Huu Cand,∗, Mai Quang Vinhe | |
| dc.date.accessioned | 2024-03-07T01:48:49Z | |
| dc.date.available | 2024-03-07T01:48:49Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | "Our goal in this paper is to present well-posed results for nonclassical diffusion systems which have applications in population dynamics. First, we establish the existence and uniqueness of a mild solution to the initial value problem. The asymptotic behavior of the mild solution is also considered when the parameter tends to zero. Second, we obtain a local well-posedness result for nonclassical diffusion systems with a nonlocal time condition. The main idea to obtain the above theoretical results is to use Banach’s theorem and some techniques in Fourier series analysis. Some numerical tests are also presented to illustrate the theory." | |
| dc.identifier.doi | 10.2298/FIL2324289T | |
| dc.identifier.uri | http://repository.vlu.edu.vn:443/handle/123456789/12876 | |
| dc.language.iso | en_US | |
| dc.relation.ispartof | Filomat | |
| dc.relation.issn | 8289–8307 | |
| dc.title | Existence and well-posed results for nonclassical diffusion systems with nonlocal diffusion | |
| dc.type | Resource Types::text::journal::journal article | |
| dspace.entity.type | Publication | |
| oairecerif.author.affiliation | #PLACEHOLDER_PARENT_METADATA_VALUE# |
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