Three-field modelling of nonlinear nonsmooth boundary value problems and stability of differential mixed variational inequalities

DOI10.1155/2013/108043zbMath1277.35183OpenAlexW2035979471WikidataQ58915295 ScholiaQ58915295MaRDI QIDQ369692

Joachim Gwinner

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/108043

zbMATH Keywords

solid mechanicsnonlinear non-smooth elliptic boundary value problemsparabolic initial boundary value problemsstability of the solutionvariational inequalities of mixed form

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with mechanics of deformable solids (35Q74) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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Cites Work

• Unnamed Item
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• Solution dependence on initial conditions in differential variational inequalities
• Differential mixed variational inequalities in finite dimensional spaces
• On differential variational inequalities and projected dynamical systems -- equivalence and a stability result
• A stability result for differential inclusions in Banach spaces
• Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
• Solution of variational inequalities in mechanics
• A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems
• Non-smooth dynamical systems
• Solvability and Galerkin approximations of a class of nonlinear operator equations
• Differential variational inequalities
• An application of babuska-brezzi's theory to a class of variational problems
• Time-dependent subdifferential evolution inclusions and optimal control
• Mixed and Hybrid Finite Element Methods
• On Parametric Evolution Inclusions of the Subdifferential Type with Applications to Optimal Control Problems
• A class of random variational inequalities and simple random unilateral boundary value problems - existence, discretization, finite element approximation
• Mosco Convergence and Reflexivity
• On the numerical analysis of nonlinear twofold saddle point problems
• A Note on Linear Differential Variational Inequalities in Hilbert Space

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