The kernel space of linear operator on a class of Grushin equation
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929499978858496 |
|---|---|
| author | Wei, Yawei Zhou, Xiaodong |
| author_facet | Wei, Yawei Zhou, Xiaodong |
| contents | In this paper, we concern the kernel of linear operator for a class of Grushin equation. First, we study the kernel space of linear operator for a general Grushin equation. Then, we provide an exact expression for the kernel space of linear operator for a special Grushin equation. Finally, we prove the linear operator related to the singularly perturbed Grushin equation is invertible when restricted to the complement of its approximate kernel space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18399 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The kernel space of linear operator on a class of Grushin equation Wei, Yawei Zhou, Xiaodong Analysis of PDEs 35B40, 47B38, 35J70 In this paper, we concern the kernel of linear operator for a class of Grushin equation. First, we study the kernel space of linear operator for a general Grushin equation. Then, we provide an exact expression for the kernel space of linear operator for a special Grushin equation. Finally, we prove the linear operator related to the singularly perturbed Grushin equation is invertible when restricted to the complement of its approximate kernel space. |
| title | The kernel space of linear operator on a class of Grushin equation |
| topic | Analysis of PDEs 35B40, 47B38, 35J70 |
| url | https://arxiv.org/abs/2407.18399 |