论文标题
关于二阶椭圆操作员各向异性奇异扰动的一些新结果
On some new results on anisotropic singular perturbations of second order elliptic operators
论文作者
论文摘要
在本文中，我们处理了一些涉及一类奇异扰动的椭圆操作员的问题。我们证明了与半线性问题相关的一般盖尔金方法的渐近保存。对于线性问题，我们使用特定的Galerkin近似来估计整个域上的收敛速率。最后，我们研究了产生的半群的渐近行为。
In this article, we deal with some problems involving a class of singularly perturbed elliptic operator. We prove the asymptotic preserving of a general Galerkin method associated to a semilinear problem. We use a particular Galerkin approximation to estimate the convergence rate on the whole domain, for the linear problem. Finally, we study the asymptotic behavior of the semigroup generated.
