Viscosity solutions, almost everywhere solutions and explicit formulas

نویسندگان

  • Bernard Dacorogna
  • Paolo Marcellini
چکیده

Consider the differential inclusion Du ∈ E in R. We exhibit an explicit solution that we call fundamental. It turns out to be also a viscosity solution, when properly defining this notion. Finally we consider a Dirichlet problem associated to the differential inclusion and we give an iterative procedure for finding a solution.

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تاریخ انتشار 2003