𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on quenching for parabolic equations with dynamic boundary conditions

✍ Scribed by Joakim Petersson


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
193 KB
Volume
58
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis


We present a quenching result for semilinear parabolic equations with dynamic boundary conditions in bounded domains with a smooth boundary.


πŸ“œ SIMILAR VOLUMES


A note on parabolic equation with nonlin
✍ JΓΌrgen Sprekels; Hao Wu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 1012 KB

We consider a semilinear parabolic equation subject to a nonlinear dynamical boundary condition that is related to the so-called Wentzell boundary condition. First we prove the existence and uniqueness of global solutions as well as the existence of a global attractor. Then we derive a suitable Łoja

Attractors for parabolic equations with
✍ Zhao-Hui Fan; Cheng-Kui Zhong πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 233 KB

In this paper we prove existence of global solutions and (L 2 (Ω ) Γ— L 2 (Ξ“ ), (H 1 (Ω ) ∩ L p (Ω )) Γ— L p (Ξ“ ))-global attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains with a smooth boundary, where there is no other restriction on p(β‰₯ 2).

A Short Note on Quenching Phenomena for
✍ Qiuyi Dai; Yonggeng Gu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 940 KB

In this paper, we investigate initial boundary value problems for semilinear parabolic differential equations with singular term. A criterion for the appearance of quencing phenomena of classical solution to the above problems on a bounded domain is given and a global existence and nonexistence resu