Geodesic
Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier--Stokes system
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 9, Tome 59 (1976), pp. 178-254

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We prove exact estimates in Hölder norms of solutions of initial- and boundary-value problems for a Navier–Stokes system with boundary condition $T\cdot\vec{n}=\vec{a}$, where $T$ is the stress tensor and $\vec{n}$ is the unit vector of the normal to the boundary. 
@article{ZNSL_1976_59_a7,
     author = {V. A. Solonnikov},
     title = {Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary {Navier--Stokes} system},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {178--254},
     publisher = {mathdoc},
     volume = {59},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a7/}
}
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V. A. Solonnikov. Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier--Stokes system. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 9, Tome 59 (1976), pp. 178-254. http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a7/