Geodesic
About the reversibility of linear differentiation operators of the elliptical type in some function spaces
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 5-19

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In the spaces of Sobolev–Slobodetzky $H^s(R)$, Sobolev–Stepanov $W^s(R^p)$ and Stepanov–Besov $W^s(V^p)$ ($0$), the equivalence of invertibility properties for the linear differentiation operator with limited coefficients is proved.
Keywords: differentiation operator, invertibility, correctness, coercitivity, functional spaces. 
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     author = {T. B. Kuznetsova and V. M. Tyurin},
     title = {About the reversibility of linear differentiation operators of the elliptical type in some function spaces},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {5--19},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_4_a0/}
}
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T. B. Kuznetsova; V. M. Tyurin. About the reversibility of linear differentiation operators of the elliptical type in some function spaces. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 5-19. http://geodesic.mathdoc.fr/item/VSGU_2009_4_a0/