Nonlinear Elliptic Systems Arising from Ergodic Control

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


In Chapter 3 we considered Bellman systems of equations arising from the theory of stochastic games. L estimates were instrumental in deriving the other types of estimates (in H 1, W 1,p ,C δ ), and the maximum principle was the main tool used to achieve this goal.


Maximum Principle Green Function Strong Convergence Differential Game Smallness Condition 
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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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