Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive–diffusive type
Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive–diffusive type
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DOI：
10.1112/plms/pdt057
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发表时间：
2012-04
影响因子：
1.8
通讯作者：
C. Gal;M. Meyries
中科院分区：
文献类型：
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作者：
C. Gal;M. Meyries
本文研究了具有反应型和反应扩散型两类动力边界条件的非线性椭圆型方程的经典解。在后一种情况下，适定性在很大程度上与椭圆方程的耦合无关。对于这两种类型的边界条件，我们考虑爆破，整体存在，整体吸引子和收敛到单个平衡点。
We investigate classical solutions of nonlinear elliptic equations with two classes of dynamical boundary conditions, of reactive and reactive–diffusive type. In the latter case it is shown that well‐posedness is to a large extent independent of the coupling with the elliptic equation. For both types of boundary conditions we consider blow‐up, global existence, global attractors and convergence to single equilibria.