Weak Formulation of Elliptic Problems

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series (BAT)


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.


Dirichlet Problem Weak Formulation Elliptic Problem Strong Solution Closed Subspace 
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© Birkhäuser Verlag AG 2009

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