
We show that a variational inequality is equivalent to a generalized Wiener-Hopf equation in the sense that, if one of them has a solution so does the other one. Moreover, their solutions can be transformed to each other by a simple formula. Applications are considered.
convergence of iteration scheme, Variational methods applied to PDEs, generalized Wiener-Hopf equation, Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators, Unilateral problems; variational inequalities (elliptic type), projection operator, convex cone, parabolic variational inequalities with unilateral constraints
convergence of iteration scheme, Variational methods applied to PDEs, generalized Wiener-Hopf equation, Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators, Unilateral problems; variational inequalities (elliptic type), projection operator, convex cone, parabolic variational inequalities with unilateral constraints
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