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Existence and Nonexistence of Global Solutions of a Fully Nonlinear Parabolic Equation
Institute of Applied Mathematics, School of Mathematics and Information Sciences, Henan University, Kaifeng, China
- 1 Institute of Applied Mathematics, School of Mathematics and Information Sciences, Henan University, Kaifeng, China
Advances in Pure Mathematics·Volume 03 (2013)·Pages 20–23·Published 11 January 2013·DOI10.4236/apm.2013.31004
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Abstract
In the paper, we study the global existence of weak solution of the fully nonlinear parabolic problem (1.1)-(1.3) with nonlinear boundary conditions for the situation without strong absorption terms. Also, we consider the blow up of global solution of the problem (1.1)-(1.3) by using the convexity method.
KeywordsNonlinear Parabolic EquationBlow UpConvexity Method
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