Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2504.09450 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909578605625344 |
|---|---|
| author | Chegaar, Mouna Horváth, Á. P. |
| author_facet | Chegaar, Mouna Horváth, Á. P. |
| contents | We examine the fractional heat diffusion equations $L_{γ,a}:=(-Δ_a)^{\fracγ{2}}+\partial_t$, where $Δ_a$ is the Laplace- or the Bessel-Laplace operator. We give conditions for removability which are sufficient and which are necessary, by $L^p$-capacities. Introducing a spherical modulus of smoothness we can treat the Laplace and Bessel-Laplace cases together. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Removable Sets for Fractional Heat and Fractional Bessel-Heat Equations Chegaar, Mouna Horváth, Á. P. Classical Analysis and ODEs 35R11, 31C15 We examine the fractional heat diffusion equations $L_{γ,a}:=(-Δ_a)^{\fracγ{2}}+\partial_t$, where $Δ_a$ is the Laplace- or the Bessel-Laplace operator. We give conditions for removability which are sufficient and which are necessary, by $L^p$-capacities. Introducing a spherical modulus of smoothness we can treat the Laplace and Bessel-Laplace cases together. |
| title | Removable Sets for Fractional Heat and Fractional Bessel-Heat Equations |
| topic | Classical Analysis and ODEs 35R11, 31C15 |
| url | https://arxiv.org/abs/2504.09450 |