Geodesic
Initial boundary-value problem for generalized Stokes equations in the half-space
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Tome 271 (2000), pp. 224-275

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The paper contains construction of the solution of the Cauchy–Dirichlet problem in the half-space $\mathbb R^3_+$ for a family of systems of differential equations containing the Stokes system. For this solution coercive estimates in the Hölder spaces of functions are obtained. 
@article{ZNSL_2000_271_a14,
     author = {V. A. Solonnikov},
     title = {Initial boundary-value problem for generalized {Stokes} equations in the half-space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {224--275},
     publisher = {mathdoc},
     volume = {271},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a14/}
}
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V. A. Solonnikov. Initial boundary-value problem for generalized Stokes equations in the half-space. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Tome 271 (2000), pp. 224-275. http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a14/