Lagrange multipliers for evolution problems with constraints on the derivatives
| Autor: | Assis Azevedo, Lisa Santos, José Francisco Rodrigues |
|---|---|
| Přispěvatelé: | Universidade do Minho |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
problems with the biharmonic operator
first order vector fields of sunelliptic type 01 natural sciences sandpile problem symbols.namesake 0101 mathematics Mathematics Ciências Naturais::Matemáticas Algebra and Number Theory Science & Technology flows of thick fluids Applied Mathematics 010102 general mathematics flow of thick fluids first order vector fields of subelliptic type language.human_language superconductivity problem superconductivity problems 010101 applied mathematics Algebra Research centre Lagrange multiplier Variational inequality language symbols Portuguese Analysis variational inequalities Matemáticas [Ciências Naturais] |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| Popis: | 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. The research of A. Azevedo and L. Santos was partially supported by the Research Centre of Mathematics of the University of Minho with the Portuguese Funds from the “Fundação para a Ciência e a Tecnologia,” through the Project UID/MAT/00013/2013, and the one by J. F. Rodrigues was done partially in the framework of the Project PTDC/MAT-PUR/28686/2017. |
| Databáze: | OpenAIRE |
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