تقرير
Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics
| العنوان: | Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics |
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| المؤلفون: | Brisson, Jade, Colbois, Bruno, Gittins, Katie |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Spectral Theory, 35P15, 58C40 |
| الوصف: | We investigate upper bounds for the spectral ratios and gaps for the Steklov eigenvalues of balls with revolution-type metrics. We do not impose conditions on the Ricci curvature or on the convexity of the boundary. We obtain optimal upper bounds for the Steklov spectral ratios in dimensions 3 and higher. In dimension 3, we also obtain optimal upper bounds for the Steklov spectral gaps. By imposing additional constraints on the metric, we obtain upper bounds for the Steklov spectral gaps in dimensions 4 and higher. Comment: Several ideas of proof from the first version could also be used to obtain Theorems 1.3 and 1.4 from the preprint arXiv:2403.13620 [math.SP] by J. Brisson and B. Colbois so we have incorporated these two theorems in this replacement |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2403.13426Test |
| رقم الانضمام: | edsarx.2403.13426 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |