Unique solvability of the Cauchy problem for the equations of the two- dimensional relativistic chiral fields, taking values in complete Riemann manifolds

DOI10.1007/BF01788917zbMath0531.58017OpenAlexW2323542891MaRDI QIDQ788360

O. A. Ladyzhenskaya, Victor Shubov

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01788917

zbMATH Keywords

Sobolev spacesGalerkin approximation methodenergy inequalitiesexistence of minima of a functional

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Initial value problems for linear higher-order PDEs (35G10) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (3)

On the Existence of Global Tchebychev Nets ⋮ Global solvability of the Cauchy problem for the Yang-Mills-Higgs equations ⋮ Book Review: Concentration compactness for critical wave maps

Cites Work

• Integrable Hamiltonian systems and interactions through quadratic constraints
• The problem of Plateau on a Riemannian manifold
• A Report on Harmonic Maps
• Harmonic Mappings of Riemannian Manifolds
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