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L p -theory for the Stefan problem

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Abstract

Local solvability of the one-phase Stefan problem is established in anisotropic Sobolev spaces. There is no loss of regularity. Hanzawa transformation of the Stefan problem to a problem in a domain with a fixed boundary is modified. Bibliography: 27 titles.

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Authors
  1. V. A. Solonnikov
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  2. E. V. Frolova
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Additional information

Dedicated to the memory of A. P. Oskolkov

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 243, 1997, pp. 299–323.

Translated by E. V. Frolova.

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Solonnikov, V.A., Frolova, E.V. L p -theory for the Stefan problem. J Math Sci 99, 989–1006 (2000). https://doi.org/10.1007/BF02673603

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  • DOI: https://doi.org/10.1007/BF02673603

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