Geodesic
Solvability of Verigin problem in Sobolev spaces
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 33, Tome 295 (2003), pp. 180-203 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper, $L_p$ estimates are obtained for the solution of a model problem arising in the linearization of the Verigin problem. The proof is based on the application of theorems on Fourier multipliers. The result obtained may be used for the proof of the solvability of the verigin problem in anisotropic Sobolev spaces. 
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E. V. Frolova. Solvability of Verigin problem in Sobolev spaces. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 33, Tome 295 (2003), pp. 180-203. http://geodesic.mathdoc.fr/item/ZNSL_2003_295_a7/

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