## Abstract We consider the Dirichlet problem for a non‐local reaction–diffusion equation with integral source term and local damping involving power non‐linearities. It is known from previous work that for subcritical damping, the blow‐up is global and the blow‐up profile is uniform on all compact
✦ LIBER ✦
Uniform Blow-Up Profiles and Boundary Behavior for Diffusion Equations with Nonlocal Nonlinear Source
✍ Scribed by Philippe Souplet
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 213 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0022-0396
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## Abstract In this paper we investigate the global existence and finite time blow‐up of solutions to the nonlinear viscoelastic equation associated with initial and Dirichlet boundary conditions. Here ∂__j__ denote the sub‐differential of __j__. Under suitable assumptions on __g__(·), __j__(·) an