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BV weak solutions to Gauss–Codazzi system for isometric immersions

  • Published:2012-02 Issue:3 Volume:252 Page:2845-2863
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Christoforou Cleopatra

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference30 articles.

1. Global weak solutions for systems of balance laws;Amadori;Appl. Math. Lett.,1999

2. Uniqueness and continuous dependence for systems of balance laws with dissipation;Amadori;Nonlinear Anal.,2002

3. Functions of Bounded Variation and Free Discontinuity Problems;Ambrosio,2000

4. Vanishing viscosity solutions of nonlinear hyperbolic systems;Bianchini;Ann. of Math.,2005

5. Hyperbolic Systems of Conservation Laws: The One-Dimensional Cauchy Problem;Bressan,2000

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1. Corrugated versus smooth uniqueness and stability of negatively curved isometric immersions;Quarterly of Applied Mathematics;2023-03-30

2. On the Existence of $$C^{1,1}$$-isometric Immersions of Several Classes of Negatively Curved Surfaces into $$\mathbb {R}^3$$;Archive for Rational Mechanics and Analysis;2019-12-06

3. The semi-global isometric embedding of surfaces with curvature changing signs stably;Proceedings of the American Mathematical Society;2019-05-17

4. On Hyperbolic Balance Laws and Applications;Innovative Algorithms and Analysis;2017

5. Global BV entropy solutions to the Gauss–Codazzi system;Journal of Mathematical Analysis and Applications;2016-12
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