Well-posedness and long-time behavior of Lipschitz solutions to generalized extremal surface equations

DOI10.1063/1.3591133zbMath1317.49050arXiv1010.4403OpenAlexW3100281983MaRDI QIDQ5266023

Yue-Jun Peng, Yong-Fu Yang

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4403

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Stability in context of PDEs (35B35) Minimal surfaces and optimization (49Q05) Hyperbolic conservation laws (35L65) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Surfaces in Euclidean and related spaces (53A05) Traveling wave solutions (35C07)

Related Items (3)

Stability of traveling wave solutions to Cauchy problem of diagnolizable ⋮ Lipschitz continuous solutions to the Cauchy problem for quasi-linear hyperbolic systems ⋮ Long-time behavior and stability of entropy solutions for linearly degenerate hyperbolic systems of rich type

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