Geodesic
$L_p$-estimates of a solution of the model Verigin problem
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 280-295

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The model problem related to free boundary Verigin problem is considered. $L_p$-estimates of its solution are obtained with the help of some results on Fourier multipliers. The obtained estimates may be usefull in proving the solvability of Verigin problem in Sobolev function spaces. 
@article{ZNSL_1999_259_a13,
     author = {E. V. Frolova},
     title = {$L_p$-estimates of a  solution of the model {Verigin} problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {280--295},
     publisher = {mathdoc},
     volume = {259},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a13/}
}
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E. V. Frolova. $L_p$-estimates of a  solution of the model Verigin problem. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 280-295. http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a13/