Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators

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Eventual local positivity for a biharmonic heat equation in R N (2007, background): “As far as existence questions for nonlinear problems are concerned, a way out of the lack of positivity preserving is the positive majorizing self similar kernel introduced by Galaktionov– Pohožaev [3].”
Decay and eventual local positivity for biharmonic parabolic equations (2008, methodology): “[7] V. A. Galaktionov and S. I. Pohožaev, Existence and blow-up for higher-order semilinear parabolic equations: majorizing order-preserving operators, Indiana Univ. Math.”