On a semilinear parabolic equation with time-dependent source term on infinite graphs
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912237617152000 |
|---|---|
| author | Punzo, Fabio Sacco, Alessandro |
| author_facet | Punzo, Fabio Sacco, Alessandro |
| contents | We are concerned with semilinear parabolic equations, with a time-dependent source term of the form $h(t)u^q$ with $q>1$, posed on an infinite graph. We assume that the bottom of the $L^2$-spectrum of the Laplacian on the graph, denoted by $λ_1(G)$, is positive. In dependence of $q, h(t)$ and $λ_1(G)$, we show global in time existence or finite time blow-up of solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13150 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a semilinear parabolic equation with time-dependent source term on infinite graphs Punzo, Fabio Sacco, Alessandro Analysis of PDEs We are concerned with semilinear parabolic equations, with a time-dependent source term of the form $h(t)u^q$ with $q>1$, posed on an infinite graph. We assume that the bottom of the $L^2$-spectrum of the Laplacian on the graph, denoted by $λ_1(G)$, is positive. In dependence of $q, h(t)$ and $λ_1(G)$, we show global in time existence or finite time blow-up of solutions. |
| title | On a semilinear parabolic equation with time-dependent source term on infinite graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.13150 |