Dual Approach to Nonlinear Elliptic Systems

  • Alain Bensoussan
  • Jens Frehse
Part of the Applied Mathematical Sciences book series (AMS, volume 151)


One can get a quick idea of the dual approach by simply considering the Dirichlet problem
$$ - \Delta u = f,\;u\left| \Gamma \right. = 0$$
and setting
$$\sigma = - Du$$


Dual Problem Formal Proof Regularity Result Unique Minimum Dual Approach 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Alain Bensoussan
    • 1
  • Jens Frehse
    • 2
  1. 1.CNESParisFrance
  2. 2.Institut für Angewandte MathematikUniversität BonnBonnGermany

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