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TitleLagrange multipliers for evolution problems with constraints on the derivatives
Author(s)Azevedo, Assis
Rodrigues, José Francisco
Santos, Lisa
Keywordsvariational inequalities
sandpile problem
superconductivity problem
flow of thick fluids
problems with the biharmonic operator
first order vector fields of sunelliptic type
superconductivity problems
flows of thick fluids
first order vector fields of subelliptic type
Issue date2021
PublisherUral Press
JournalAlgebra i Analiz
CitationA. Azevedo, J.-F. Rodrigues, L. Santos, “Lagrange multipliers for evolution problems with constraints on the derivatives”, Algebra i Analiz, 32:3 (2020), 65–83.
Abstract(s)We prove the existence of generalized Lagrange multipliers for a class of evolution problems for linear differential operators of different types subject to constraints on the derivatives. Those Lagrange multipliers and the respective solutions are stable for the vanishing of the coercive parameter and are naturally associated with evolution variational inequalities with time-dependent convex sets of gradient type. We apply these results to the sandpile problem, to superconductivity problems, to flows of thick fluids, to problems with the biharmonic operator, and to first order vector fields of subelliptic type.
Publisher version
AccessEmbargoed access (2 Years)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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