On a class of (non)local superposition operators of arbitrary order
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908585164800000 |
|---|---|
| author | Dipierro, Serena Jarohs, Sven Valdinoci, Enrico |
| author_facet | Dipierro, Serena Jarohs, Sven Valdinoci, Enrico |
| contents | In this paper we introduce a very general setting dealing with the superposition of operators of any positive order and provide a systematic study of them. We also provide examples and counterexamples, as well as characterizing properties of the measures and the functional spaces under consideration. Moreover, we present some applications regarding the existence theory for a class of nonlinear problems involving superposition operators of arbitrary (possibly fractional) order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08345 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a class of (non)local superposition operators of arbitrary order Dipierro, Serena Jarohs, Sven Valdinoci, Enrico Analysis of PDEs 35A15, 35R09, 35J40 In this paper we introduce a very general setting dealing with the superposition of operators of any positive order and provide a systematic study of them. We also provide examples and counterexamples, as well as characterizing properties of the measures and the functional spaces under consideration. Moreover, we present some applications regarding the existence theory for a class of nonlinear problems involving superposition operators of arbitrary (possibly fractional) order. |
| title | On a class of (non)local superposition operators of arbitrary order |
| topic | Analysis of PDEs 35A15, 35R09, 35J40 |
| url | https://arxiv.org/abs/2510.08345 |