Regularity Structure of Conservative Solutions to the Hunter--Saxton Equation

DOI10.1137/21M1427590zbMath1482.35059arXiv2106.09228MaRDI QIDQ5024685

Yu Gao, Hao Liu, Tak Kwong Wong

Publication date: 27 January 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09228

zbMATH Keywords

well-posednessmethod of characteristicsintegrable systemsemigroup propertydecomposition of energy measureformulation of singularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) One-parameter semigroups and linear evolution equations (47D06) Singularity in context of PDEs (35A21)

Related Items (3)

Stability of peakons of the Camassa–Holm equation beyond wave breaking ⋮ Asymptotic Behavior of Conservative Solutions to the Hunter–Saxton Equation ⋮ On conservative sticky peakons to the modified Camassa-Holm equation

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