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Blow-Up Results for a Class of Quasilinear Parabolic Equation with Power Nonlinearity and Nonlocal Source
Author(s) -
Xiaorong Zhang,
Zhoujin Cui
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/2208818
Subject(s) - bounded function , dirichlet boundary condition , nonlinear system , mathematical analysis , class (philosophy) , homogeneous , domain (mathematical analysis) , mathematics , power (physics) , boundary value problem , boundary (topology) , physics , computer science , quantum mechanics , combinatorics , artificial intelligence
This paper deals with a class of quasilinear parabolic equation with power nonlinearity and nonlocal source under homogeneous Dirichlet boundary condition in a smooth bounded domain; we obtain the blow-up condition and blow-up results under the condition of nonpositive initial energy.

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