For a parabolic quasilinear equation with monotone convex potential, we construct superparabolic and subparabolic barrier functions by the method of decomposition.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 11, pp. 1449–1456, November, 2008.
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Bondarenko, V.G., Prokopenko, Y.Y. Barrier functions for one class of semilinear parabolic equations. Ukr Math J 60, 1691–1701 (2008). https://doi.org/10.1007/s11253-009-0163-7
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DOI: https://doi.org/10.1007/s11253-009-0163-7