Homogenization of Maximal Monotone Vector Fields via Selfdual Variational Calculus
نویسندگان
چکیده
منابع مشابه
Maximal monotone operators are selfdual vector fields and vice-versa
If L is a selfdual Lagrangian L on a reflexive phase space X ×X∗, then the vector field x → ∂̄L(x) := {p ∈ X∗; (p, x) ∈ ∂L(x, p)} is maximal monotone. Conversely, any maximal monotone operator T on X is derived from such a potential on phase space, that is there exists a selfdual Lagrangian L on X ×X∗ (i.e, L∗(p, x) = L(x, p)) such that T = ∂̄L. This solution to problems raised by Fitzpatrick can...
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ژورنال
عنوان ژورنال: Advanced Nonlinear Studies
سال: 2011
ISSN: 2169-0375,1536-1365
DOI: 10.1515/ans-2011-0206