Resources / preprint
The heat equation with singular potentials. II: Hypoelliptic case M6MQPEDQ8N
| URI | m2://res/M6MQPEDQ8N |
| Kind | preprint |
| Creators | Marianna Chatzakou, Michael Ruzhansky, Niyaz Tokmagambetov |
| Date | 2021-10-24 |
| MSC | 35-XX |
| Subjects | arxiv math.AP |
| Scope | in |
Expressions
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
| Very weak solution, case $V\geq 0$ | definition | definition 4.5 | arxiv |
| Classical solution, case I: $V\geq 0$ | statement | proposition 3.1 | arxiv |
| 23REWG6CEX | statement | corollary 4.9 | arxiv |
| Classical solution, case $V \in \mathbb{R}$ | statement | proposition 3.3 | arxiv |
| Space $C_0(\G)$ | definition | definition 5.1 | arxiv |
| Very weak solution, case $V \in \mathbb{R}$ | definition | definition 4.6 | arxiv |
| BZWTRFVKJ9 | statement | lemma 4.15 | arxiv |
| CY66YQ2ZKT | statement | theorem 5.4 | arxiv |
| Uniqueness of the very weak solution, case I: $V \geq 0$ | statement | theorem 4.16 | arxiv |
| GF15GHEM07 | definition | definition 2.1 | arxiv |
| Consistency with the classical solution, case $V \geq 0$ | statement | theorem 5.3 | arxiv |
| Existence of the very weak solution, case $V\geq 0$ | statement | theorem 4.7 | arxiv |
| Moderateness | definition | definition 4.1 | arxiv |
| Negligibility | definition | definition 4.4 | arxiv |
| TRVHXX1YP6 | example | example 4.14 | arxiv |
| VA1NSN3NBF | statement | theorem 4.18 | arxiv |
| W93ECMC6QH | statement | theorem 4.17 | arxiv |
| Classical solution, case II: $V \geq 0$ | statement | proposition 3.2 | arxiv |
| WQ32M1FCMB | statement | proposition 4.3 | arxiv |
| WQMGHT7XAV | definition | definition 4.12 | arxiv |
| Uniqueness of the very weak solution, case $V\geq 0$ | definition | definition 4.11 | arxiv |
| Existence of the very weak solution, case $V \in \mathbb{R}$ | statement | theorem 4.8 | arxiv |
Catalogue records
- arxiv: 2110.12380 (work)
- arxiv_text: 2110.12380 (work)