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A quasilinear parabolic problem with a source term and a nonlocal absorption

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We investigate a quasi-linear parabolicproblem with nonlocal absorption, for which the comparison principle is not always available. Thesufficient conditions are established via energy method to guaranteesolution to blow up or… Click to show full abstract

We investigate a quasi-linear parabolicproblem with nonlocal absorption, for which the comparison principle is not always available. Thesufficient conditions are established via energy method to guaranteesolution to blow up or not, and the long time behavior is alsocharacterized for global solutions.

Keywords: absorption; problem source; quasilinear parabolic; nonlocal absorption; source term; parabolic problem

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2018

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