Geodesic
Investigation of a~problem governing a~viscous compressible flow past a~body in H\"older spaces
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 247-269

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It is shown that the stationary exterior problem for the equations of notion of a viscous compressible liquid uniquely solvable in weighted Hölder spaces, if exterior forces and the value of velocity at infinity are sufficiently small. As a weight function, a power function $(1+|x|)^{-m}$, $m>0$ is taken. The proof, which is carried out by the method of decomposition, relies on the estimates of sindular integers and of solutions of the transport equations in weighted spaces. 
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     author = {A. Novotny and P. Penel and V. A. Solonnikov},
     title = {Investigation of a~problem governing a~viscous compressible flow past a~body in {H\"older} spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {247--269},
     publisher = {mathdoc},
     volume = {245},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a13/}
}
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A. Novotny; P. Penel; V. A. Solonnikov. Investigation of a~problem governing a~viscous compressible flow past a~body in H\"older spaces. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 247-269. http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a13/