References
- Taylor ME. Analysis on Morrey spaces and applications to Navier–Stokes and other evolution equations. Commun Partial Differ Equ. 1992;17(9–10):1407–1456. doi:10.1080/03605309208820892
- Giga Y, Miyakawa T. Navier–Stokes flow in R3 with measures as initial vorticity and Morrey spaces. Commun Partial Differ Equ. 1989;14(5):577–618. doi:10.1080/03605308908820621
- Chen Z-M, Price WG. Morrey space techniques applied to the interior regularity problem of the Navier–Stokes equations. Nonlinearity. 2001;14(6):1453–1472. doi:10.1088/0951-7715/14/6/303
- Caffarelli L, Kohn R, Nirenberg L. Partial regularity of suitable weak solutions of the Navier–Stokes equations. Commun Pure Appl Math. 1982;35(6):771–831. doi:10.1002/cpa.3160350604
- Morrey Jr CB. On the solutions of quasi-linear elliptic partial differential equations. Trans Am Math Soc. 1938;43(1):126–166. doi:10.2307/1989904
- Guliev VS, Mustafaev RCh. Fractional integrals in spaces of functions defined on spaces of homogeneous type. Anal Math. 1998;24(3):181–200. doi:10.1007/BF02771082
- Burenkov VI, Guliyev HV. Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces. Stud Math. 2004;163(2):157–176. doi:10.4064/sm163-2-4
- Bradshaw Z, Grujić Z. Frequency localized regularity criteria for the 3D Navier–Stokes equations. Arch Ration Mech Anal. 2017;224(1):125–133. doi:10.1007/s00205-016-1069-9
- Bradshaw Z, Farhat A, Grujić Z. An algebraic reduction of the ‘Scaling Gap’ in the Navier–Stokes regularity problem. Arch Ration Mech Anal. 2019;231(3):1983–2005. doi:10.1007/s00205-018-1314-5
- Gogatishvili A, Mustafayev R. Dual spaces of local Morrey-type spaces. Czech Math J. 2011;61(3):609–622. doi:10.1007/s10587-011-0034-x
- Grujić Z. The geometric structure of the super-level sets and regularity for 3D Navier–Stokes equations. Indiana Univ Math J. 2001;50(3):1309–1317. doi:10.1512/iumj.2001.50.1900
- Grujić Z. A geometric measure-type regularity criterion for solutions to the 3D Navier–Stokes equations. Nonlinearity. 2013;26(1):289–296. doi:10.1088/0951-7715/26/1/289
- Farhat A, Grujić Z, Leitmeyer K. The space B−1∞,∞, volumetric sparseness, and 3D NSE. J Math Fluid Mech. 2017;19(3):515–523. doi:10.1007/s00021-016-0288-z
- Grujić Z, Kukavica I. Space analyticity for the Navier–Stokes and related equations with initial data in Lp. J Funct Anal. 1998;152(2):447–466. doi:10.1006/jfan.1997.3167
- Guberović R. Smoothness of Koch-Tataru solutions to the Navier–Stokes equations revisited. Discrete Contin Dyn Syst. 2010;27(1):231–236. doi:10.3934/dcds.2010.27.231
- Iyer G, Kiselev A, Xu X. Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows. Nonlinearity. 2014;27(5):973–985. doi:10.1088/0951-7715/27/5/973
- Burenkov VI, Guliyev HV, Guliyev VS. Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces. J Comput Appl Math. 2007;208(1):280–301. doi:10.1016/j.cam.2006.10.085
- Gogatishvili A, Ch. Mustafayev R. New pre-dual space of Morrey space. J Math Anal Appl. 2013;397(2):678–692. doi:10.1016/j.jmaa.2012.08.025
- Gogatishvili A, Ch. Mustafayev R. The multidimensional reverse Hardy inequalities. Math Inequal Appl. 2012;15(1):1–14. doi:10.7153/mia-15-01