Weak Formulation of Elliptic Problems
Solving a partial differential equation is not an easy task. We explain here the weak formulation method which allows to obtain existence and uniqueness of a solution “in a certain sense” which coincides necessarily with the solution in the usual sense if it exists. First let us explain briefly in which context second-order elliptic partial differential equations do arise.
KeywordsDirichlet Problem Weak Formulation Elliptic Problem Strong Solution Closed Subspace
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