首页|Finite Time Blow-Up and Global Existence for Degenerate Parabolic Equations at High Initial Energy
Finite Time Blow-Up and Global Existence for Degenerate Parabolic Equations at High Initial Energy
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We consider the initial-boundary value problem for finitely degenerate parabolic equation.We first give sufficient conditions for the blow-up and global existence of the parabolic equation at high initial energy level.Then,we establish the existence of solutions blowing up in finite time with initial data at arbitrary energy level.Finally,we estimate the upper bound of the blow-up time under certain conditions.
High energyDegenerate parabolic equationsBlow upGlobal existence
LIU Gong-wei、YANG Kun
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School of Science,Henan University of Technology,Zhengzhou 450001,China
国家自然科学基金Innovative Funds Plan of Henan University of Technology
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