Recently much work has been devoted to periodic-parabolic equations with linear homogeneous boundary conditions. However, very little has been accomplished in the literature for periodic-parabolic problems with nonlinear boundary conditions. It is the purpose of this paper to prove existence and reg
Stability and instability for semilinear parabolic equations with free boundary conditions
β Scribed by Yoshiaki Hashimoto; Yasuo Niikura; Yoshio Yamada
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 676 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0362-546X
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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).
## Abstract We study a semilinear parabolic partial differential equation of second order in a bounded domain Ξ© β β^__N__^, with nonstandard boundary conditions (BCs) on a part Ξ~non~ of the boundary βΞ©. Here, neither the solution nor the flux are prescribed pointwise. Instead, the total flux throu