تقرير
Blow-up and global existence for semilinear parabolic equations on infinite graphs
| العنوان: | Blow-up and global existence for semilinear parabolic equations on infinite graphs |
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| المؤلفون: | Grillo, Gabriele, Meglioli, Giulia, Punzo, Fabio |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | We investigate existence of global in time solutions and blow-up of solutions to the semilinear heat equation posed on infinite graphs. The source term is a general function $f(u)$. We always assume that the infimum of the spectrum of the Laplace operator $\lambda_1(G)$ on the graph is positive. According to an interaction between the behavior of $f$ close to $0$ and the value $\lambda_1(G)$, we get the existence of a global in time solution or blow-up of any nonnegative solution, provided that the initial datum is nontrivial. Comment: arXiv admin note: text overlap with arXiv:2112.00125 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.15069 |
| رقم الأكسشن: | edsarx.2406.15069 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |