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Solvability of the Verigin problem in Sobolev spaces

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Local solvability of the Verigin problem is established in anisotropic Sobolev spaces. No loss of regularity occurs. Bibliography: 14 titles.

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Dedicated to Olga Aleksandrovna Ladyzhenskaya on the occasion of her jubilee

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 295, 2003, pp. 180–203.

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Frolova, E.V. Solvability of the Verigin problem in Sobolev spaces. J Math Sci 127, 1923–1935 (2005). https://doi.org/10.1007/s10958-005-0151-x

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