Abstract
For the linear equation L\(L(\tfrac{\partial }{\partial },\tfrac{\partial }{{\partial t}})\) u=0 in which L is a product of a 2b1-parabolic operator and a 2b2r-elliptic operator (b1, b2, and r are integers), we obtain L2-estimates for solutions of model boundary value problems, namely, for the Cauchy problem and the half-space problem. Bibliography: 5 titles.
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Literature Cited
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 197, pp. 4–27, 1992.
Translated by N. A. Karazeeva.
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Abdrakhmanov, M.A. L 2-estimates of solutions of boundary value problems for equations with mixed elliptic-parabolic structure. J Math Sci 75, 1987–2001 (1995). https://doi.org/10.1007/BF02362941
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DOI: https://doi.org/10.1007/BF02362941