WEAK SOLUTIONS VIA TWO-FIELD LAGRANGE MULTIPLIERS FOR BOUNDARY VALUE PROBLEMS IN MATHEMATICAL PHYSICS-Reference-Cited by-同舟云学术

WEAK SOLUTIONS VIA TWO-FIELD LAGRANGE MULTIPLIERS FOR BOUNDARY VALUE PROBLEMS IN MATHEMATICAL PHYSICS

Published:2022-11-10 Issue:4 Volume:27 Page:561-572
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Cojocaru Mariana Chivu¹^ORCID,Matei Andaluzia²

Affiliation:

1. Doctoral School of Sciences, University of Craiova, A.I. Cuza 13, 200585 Craiova, Romania

2. Department of Mathematics, University of Craiova, A.I. Cuza 13, 200585 Craiova, Romania

Abstract

A new variational approach for a boundary value problem in mathematical physics is proposed. By considering two-field Lagrange multipliers, we deliver a variational formulation consisting of a mixed variational problem which is equivalent with a saddle point problem. Thus, the unique solvability of the weak formulation we propose is governed by the saddle point theory. Alternative variational formulations and some of their connections are also discussed.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference18 articles.

1. Finite Elemente

2. Functional Analysis, Sobolev Spaces and Partial Differential Equations

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4. An Introduction to Hilbert Space and Quantum Logic

5. Saddle point formulations for a class of nonlinear boundary value problems;M. Chivu Cojocaru;Bull. Math. Soc. Sci. Math. Roumanie,2021

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