Variational principles for operator equations and initial value problems

DOI10.1016/0362-546X(88)90047-8zbMath0658.47016OpenAlexW1988827361MaRDI QIDQ3806224

J. F. G. Auchmuty

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90047-8

zbMATH Keywords

subdifferentialconvex analysisconjugate functionalsvariational principles for certain classes of operator equations and initial value problems

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Equations and inequalities involving linear operators, with vector unknowns (47A50) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (10)

Hamiltonian systems of PDEs with selfdual boundary conditions ⋮ Existence of solutions to time-dependent nonlinear diffusion equations via convex optimization ⋮ A self-dual variational approach to stochastic partial differential equations ⋮ A duality approach to nonlinear diffusion equations ⋮ Anti-selfdual Lagrangians. II: Unbounded non self-adjoint operators and evolution equations ⋮ Variational principles for variational inequalities ⋮ On the construction of extended problems and related functionals for general nonlinear equations ⋮ A theory of anti-selfdual Lagrangians: stationary case ⋮ Anti-self-dual Lagrangians: variational resolutions of non-self-adjoint equations and dissipative evolutions ⋮ Saddle-point principles and numerical integration methods for second-order hyperbolic equations

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• Variational formulation for every nonlinear problem
• Duality for non-convex variational principles
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Impulse, Flow Force and Variational Principles
• Structure of the set of stationary solutions of the navier‐stokes equations
• Variational principles for linear initial-value problems
• Variational principles in continuum mechanics

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