A Strange Term Coming from Nowhere

Doina Cioranescu, François Murat · Birkhäuser Boston eBooks · 1997

Let Ω be a bounded open set in ℝ N and let us perforate it by holes: we obtain an open set Ω ε . Consider the Dirichlet problem in the domain Ω ε . The general questions with which we are concerned are the following. Do the solutions u ε converge to a limit u when the parameter e tends to zero? If this limit exists, can it be characterized? These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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