Global BV entropy solutions to the Gauss-Codazzi system

DOI10.1016/J.JMAA.2016.07.006zbMath1346.53008OpenAlexW2464060213MaRDI QIDQ739506

Wentao Cao

Publication date: 18 August 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.006

zbMATH Keywords

metricGauss-Codazzi systemsystem of balance lawsBV entropy solutions

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Hyperbolic equations and hyperbolic systems (35L99)

Cites Work

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• Isometric immersions and compensated compactness
• BV weak solutions to Gauss-Codazzi system for isometric immersions
• The fundamental theorem of surface theory for surfaces with little regularity
• The imbedding problem for Riemannian manifolds
• Uniqueness and continuous dependence for systems of balance laws with dissipation
• Local isometric embedding of surfaces with nonpositive Gaussian curvature.
• Global weak solutions for systems of balance laws
• Realization in \(\mathbb{R}^ 3\) of complete Riemannian manifolds with negative curvature
• On Pfaff systems with \(L^p\) coefficients and their applications in differential geometry
• The local isometric embedding inR3 of two-dimensional riemannian manifolds with gaussian curvature changing sign cleanly
• On the isometric embedding of surfaces with Gauss curvature changing sign cleanly
• HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION

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