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Stabilization of solutions of initial-boundary problems for quasilinear parabolic equations

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Abstract

Lower bounds are obtained for solutions of the initial-boundary Dirichlet problem for high order equations. Sharp bounds are also obtained for ess sup¦∇u(x, t)¦ of the Neumann initial-boundary problem for a second-ω order equation in D=Ωx(t >0), where (Rn, n ≥ 2 is a domain with noncompact convex boundary.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Academy of Sciences of Ukraine, Donetsk

    A. F. Tedeev

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  1. A. F. Tedeev
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Translated from Ukrainskii Maternaticheskii Zhurnal, Vol. 44, No. 10, pp. 1441–1450, October, 1992.

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Tedeev, A.F. Stabilization of solutions of initial-boundary problems for quasilinear parabolic equations. Ukr Math J 44, 1325–1334 (1992). https://doi.org/10.1007/BF01057692

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  • DOI: https://doi.org/10.1007/BF01057692

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