The First Boundary Value Problem

  • O. A. Oleĭnik
  • E. V. Radkevič


We shall denote by Ω a bounded domain in Euclidean space R m , and by x = (x1, ⋯, x m ) a point in this space. All functions considered in Chapter I are assumed real unless otherwise specified. As usual, the symbol AB means that the set A is contained in B, and Ā denotes the closure of the set A.


Weak Solution Maximum Principle Interior Point Boundary Problem Integral Identity 
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Copyright information

© American Mathematical Society, Providence, Rhode Island and Plenum Press, New York 1973

Authors and Affiliations

  • O. A. Oleĭnik
    • 1
  • E. V. Radkevič
    • 2
  1. 1.Moscow State UniversityMoscowUSSR
  2. 2.Institute for Problems of MechanicsAcademy of Sciences of the USSRMoscowUSSR

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