On parameterized nonlocal-fractional transmission problems and associated function spaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908562163236864 |
|---|---|
| author | Du, Qiang Han, Zhaolong Mengesha, Tadele Scott, James M. Tian, Xiaochuan |
| author_facet | Du, Qiang Han, Zhaolong Mengesha, Tadele Scott, James M. Tian, Xiaochuan |
| contents | In this paper, we consider a family of seamlessly coupled nonlocal models associated with transmission conditions across an interface. The models are derived from the variation of a parameterized family of energies consisting of a fractional type Dirichlet energy on one subdomain and a nonlocal Dirichlet energy involving a finite range of interactions on another subdomain. We present the rigorous mathematical formulation and its well-posedness. We also investigate the behavior of the model in various limiting regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22987 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On parameterized nonlocal-fractional transmission problems and associated function spaces Du, Qiang Han, Zhaolong Mengesha, Tadele Scott, James M. Tian, Xiaochuan Analysis of PDEs 45K05, 35R11, 46E35 In this paper, we consider a family of seamlessly coupled nonlocal models associated with transmission conditions across an interface. The models are derived from the variation of a parameterized family of energies consisting of a fractional type Dirichlet energy on one subdomain and a nonlocal Dirichlet energy involving a finite range of interactions on another subdomain. We present the rigorous mathematical formulation and its well-posedness. We also investigate the behavior of the model in various limiting regimes. |
| title | On parameterized nonlocal-fractional transmission problems and associated function spaces |
| topic | Analysis of PDEs 45K05, 35R11, 46E35 |
| url | https://arxiv.org/abs/2509.22987 |