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July  1995, 1(3): 449-461. doi: 10.3934/dcds.1995.1.449

Interior derivative blow-up for quasilinear parabolic equations

Yoshikazu Giga 1,

1. 

Department of Mathematics, Hokkaido University, Sapporo 060, Japan

Received  May 1995 Published  May 1995

We give examples of a bounded solution whose gradient blows up in a finite time but it stays bounded on the boundary for a class of quasilinear parabolic equations with zero boundary data. The method reflects a geometric argument for curve evolution equations.
Keywords: blow-up., quasilinear parabolic equations.
Mathematics Subject Classification: 35K5.
Citation: Yoshikazu Giga. Interior derivative blow-up for quasilinear parabolic equations. Discrete & Continuous Dynamical Systems - A, 1995, 1 (3) : 449-461. doi: 10.3934/dcds.1995.1.449
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