Department of Mathematics, College of Science, Al-Nahrain University, Baghdad, Iraq
Abstract:
In this paper, a Dirichlet-to-Neumann operator related to the
Cauchy problem for the gradient operator with data on a part of the boundary is defined.
To this end, a nonlinear relaxation of this problem, which is
a mixed boundary problem of Zaremba type for the p-Laplace equation, is considered.
Keywords:Dirichlet-to-Neumann operator,
Cauchy problem,
p-Laplce operator,
calculus of variations.
