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A problem without initial conditions for a nonlinear ultraparabolic equation with degeneration

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We consider the mixed problem for a second-order nonlinear degenerate ultraparabolic equation. We investigate the existence of generalized solutions of this problem in a bounded domain as well as of weak solutions (in the sense of a limit of sequences) of the problem without initial conditions for this equation.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    N. P. Protsakh

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  1. N. P. Protsakh
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 1, pp. 7–19, January–March, 2009.

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Protsakh, N.P. A problem without initial conditions for a nonlinear ultraparabolic equation with degeneration. J Math Sci 168, 505–522 (2010). https://doi.org/10.1007/s10958-010-0003-1

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  • DOI: https://doi.org/10.1007/s10958-010-0003-1

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