التفاصيل البيبلوغرافية
| العنوان: |
Space of ancient caloric functions on some manifolds beyond volume doubling |
| المؤلفون: |
Lin, Fanghua, Qiu, Hongbing, Sun, Jun, Zhang, Qi S. |
| سنة النشر: |
2025 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, 58J35, 53C44 |
| الوصف: |
Under a condition that breaks the volume doubling barrier, we obtain a time polynomial structure result on the space of ancient caloric functions with polynomial growth on manifolds. As a byproduct, it is shown that the finiteness result for the space of harmonic functions with polynomial growth on manifolds in \cite{CM97} and \cite{Li97} are essentially sharp, except for the multi-end cases, addressing an issue raised in \cite{CM98}. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2501.09711 |
| رقم الانضمام: |
edsarx.2501.09711 |
| قاعدة البيانات: |
arXiv |