The Penalty Method for Variational Inequalities with Nonsmooth Unbounded Operators in Banach Space
Ya. I. Alber
Abstract
The existence of a solution, convergence and stability of the penalty method for variational inequalities with nonsmooth unbounded uniformly and properly monotone operators in Banach spase B are investigated. All the objects of the inequality - the operator A, "the right-hand part" f and the set of constrains Ω - are to be perturbed. The stability theorems are formulated in terms of geometric characteristics of the spaces B and B*. The results of this paper are continuity and generalization of the Lions' ones, published earlier in l. They are new even in Hilbert spaces.
Create a lesson
Related papers
Hilbert norms for graded algebras
Joachim Kupsch, Oleg G. Smolyanov
Equivariance and Imprimitivity for Discrete Hopf C*-Coactions
S. Kaliszewski, John Quigg
Distributional Asymptotic Expansions of Spectral Functions and of the Associated Green Kernels
R. Estrada, S. A. Fulling
On a class of stochastic differential equations used in quantum optics
Alberto Barchielli, Fabio Zucca
Cuntz-Krieger algebras for infinite matrices
Ruy Exel, Marcelo Laca
C*-Crossed Products by Twisted Inverse Semigroup Actions
Nandor Sieben