摘要 :
Given a linear semi-bounded symmetric operator , we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators of type (i.e., generators of one-parameter continuous nonlinear semigroups of cont...
展开
Given a linear semi-bounded symmetric operator , we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators of type (i.e., generators of one-parameter continuous nonlinear semigroups of contractions of type lambda) which coincide with the Friedrichs extension of S on a convex set containing the domain of S. The extension parameter ranges over the set of nonlinear maximal monotone relations in an auxiliary Hilbert space isomorphic to the deficiency subspace of S. Moreover, is a sub-potential operator (i.e., the sub-differential of a lower semicontinuous convex function) whenever is sub-potential. Applications to Laplacians with nonlinear singular perturbations supported on null sets and to Laplacians with nonlinear boundary conditions on a bounded set are given.
收起
摘要 :
In this work we obtain a product formula type for a two-parameters commuting family of nonexpansive mappings on D. This is established by following the techniques used by Simeon Reich and David Shoikhet in the study of one-paramet...
展开
In this work we obtain a product formula type for a two-parameters commuting family of nonexpansive mappings on D. This is established by following the techniques used by Simeon Reich and David Shoikhet in the study of one-parameter semigroups of holomorphic and nonexpansive self-mappings in D. Also, we stablish such a formula for the family of non-linear resolvent of a strongly rho-monotone functions on D and its relation with evolution families of nonexpansive mappings on D. It is worthy mentioning that the product formula is linked with semigroup of linear and nonlinear operators. Also it is associated with the study of vector fields and flows, but in the literature it is established a product formula for time independent flow.
收起
原文获取