Global Existence, Regularity, and Dissipativity of Reaction-diffusion Equations with State-dependent Delay and Supercritical Nonlinearities
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909119907102720 |
|---|---|
| author | Wang, Ruijing Li, Desheng |
| author_facet | Wang, Ruijing Li, Desheng |
| contents | This work aims to study the initial-boundary value problem of the reaction-diffusion equation $\pa_{t}u-Δu=f(u)+g(u(t-τ(t,u_t)))+h(t,x)$ in a bounded domain with state-dependent delay and supercritical nonlinearities. We establish the global existence and discuss the regularity and dissipativity of the problem under weaker assumptions. In particular, the existence of a global pullback attractor is proved regardless of uniqueness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15996 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global Existence, Regularity, and Dissipativity of Reaction-diffusion Equations with State-dependent Delay and Supercritical Nonlinearities Wang, Ruijing Li, Desheng Analysis of PDEs Dynamical Systems This work aims to study the initial-boundary value problem of the reaction-diffusion equation $\pa_{t}u-Δu=f(u)+g(u(t-τ(t,u_t)))+h(t,x)$ in a bounded domain with state-dependent delay and supercritical nonlinearities. We establish the global existence and discuss the regularity and dissipativity of the problem under weaker assumptions. In particular, the existence of a global pullback attractor is proved regardless of uniqueness. |
| title | Global Existence, Regularity, and Dissipativity of Reaction-diffusion Equations with State-dependent Delay and Supercritical Nonlinearities |
| topic | Analysis of PDEs Dynamical Systems |
| url | https://arxiv.org/abs/2402.15996 |