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 Εoja
A note on quenching for parabolic equations with dynamic boundary conditions
β Scribed by Joakim Petersson
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 193 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
We present a quenching result for semilinear parabolic equations with dynamic boundary conditions in bounded domains with a smooth boundary.
π SIMILAR VOLUMES
In this paper we prove existence of global solutions and (L 2 (β¦ ) Γ L 2 (Ξ ), (H 1 (β¦ ) β© L p (β¦ )) 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).
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