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Global Well-Posedness and Finite-Time Blow-Up of Some Heat-Type Equations
Published online by Cambridge University Press: 02 November 2016
Abstract
We study two different heat-type equations. First, global well-posedness in the energy space of some high-order semilinear heat-type equation with exponential nonlinearity is obtained for even space dimensions. Second, a finite-time blow-up result for the critical monomial focusing heat equation with the p-Laplacian is proved.
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- Copyright © Edinburgh Mathematical Society 2017
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