General Regularity Results

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


We show in this chapter how to obtain general regularity results for solutions of PDEs or systems of PDEs. We shall stress the techniques for obtaining W l,p and C δ regularity. We shall then derive additional regularity. In the sequel everything is self-contained, except that we shall make use of the W 2,p regularity results for the linear Dirichlet problem. For equations we rely heavily on O.A. Ladyzhenskaya, N.N. Ural’tseva [66].


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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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