Acknowledgement
This work was supported by a 2-Year Research Grant of Pusan National University.
References
- Gabriel Acosta, Ricardo G. Duran, and Maria A. Muschietti. Solutions of the divergence operator on John domains. Adv. Math., 206(2):373-401, 2006. https://doi.org/10.1016/j.aim.2005.09.004
- Michal Benes and Petr Kucera. Solutions to the Navier-Stokes equations with mixed boundary conditions in two-dimensional bounded domains. Math. Nachr., 289(2-3):194-212, 2016. https://doi.org/10.1002/mana.201400046
- Jongkeun Choi, Hongjie Dong, and Doyoon Kim. Conormal derivative problems for stationary Stokes system in Sobolev spaces. Discrete Contin. Dyn. Syst., 38(5):2349-2374, 2018. https://doi.org/10.3934/dcds.2018097
- Jongkeun Choi, Hongjie Dong, and Doyoon Kim. Green functions of conormal derivative problems for Stokes system. J. Math. Fluid Mech., 20(4):1745-1769, 2018. https://doi.org/10.1007/s00021-018-0387-0
- Jongkeun Choi and Seick Kim. Green's function for second order parabolic systems with Neumann boundary condition. J. Differential Equations, 254(7):2834-2860, 2013. https://doi.org/10.1016/j.jde.2013.01.003
- Jongkeun Choi and Seick Kim. Neumann functions for second order elliptic systems with measurable coefficients. Trans. Amer. Math. Soc., 365(12):6283-6307, 2013. https://doi.org/10.1090/S0002-9947-2013-05886-2
- Jongkeun Choi and Ki-Ahm Lee. The Green function for the Stokes system with measurable coefficients. Commun. Pure Appl. Anal., 16(6):1989-2022, 2017. https://doi.org/10.3934/cpaa.2017098
- Mariano Giaquinta. Introduction to regularity theory for nonlinear elliptic systems. Lectures in Mathematics ETH Zurich. Birkhauser Verlag, Basel, 1993.
- Steve Hofmann and Seick Kim. The Green function estimates for strongly elliptic systems of second order. Manuscripta math., 124(2):139-172, 2007. https://doi.org/10.1007/s00229-007-0107-1
- Stanislav Kracmar and Jiri Neustupa. A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions. Nonlinear Anal., 47(6):4169-4180, 2001. https://doi.org/10.1016/S0362-546X(01)00534-X
- Vladimir Gilelevich Maz'ya and Jurgen Rossmann. Pointwise estimates for Green's kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone. Math. Nachr., 278(2005):1766-1810, 2005. https://doi.org/10.1002/mana.200410340