Regularity of weak solutions for the fractional Camassa–Holm equations
Author:
Funder
National Natural Science Foundation of China
Fundamental Research Funds for the Central Universities
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00033-022-01793-x.pdf
Reference19 articles.
1. Bjorland, C., Schonbek, M.E.: On questions of decay and existence for the viscous Camassa–Holm equations. Ann. Inst. H. Poincaré Anal. Nonlinéaire 25(5), 907–936 (2008)
2. Caffarelli, L., Kohn, R., Nirenberg, L.: Partial regularity of suitable weak solutions of the Navier–Stokes equations. Commun. Pure Appl. Math. 35(6), 771–831 (1982)
3. Caffarelli, L., Silvestre, L.: An extension problem related to the fractional Laplacian. Commun. Partial Differ. Equ. 32(7–9), 1245–1260 (2007)
4. Chen, R.M., Liu, Y., Qu, C., Zhang, S.: Oscillation-induced blow-up to the modified Camassa–Holm equation with linear dispersion. Adv. Math. 272, 225–251 (2015)
5. Chen, Z.-Q., Zhang, X.: Heat kernels and analyticity of non-symmetric jump diffusion semigroups. Probab. Theory Rel. Fields 165(1–2), 267–312 (2016)
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