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BLOW-UP PROPERTIES OF SOLUTIONS TO PARABOLIC SYSTEMS COUPLED IN EQUATIONS AND BOUNDARY CONDITIONS

Published online by Cambridge University Press:  25 March 2003

M. X. WANG
M. X. WANG
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210018, [email protected]
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Abstract

The paper deals with the estimates of the blow-up rate and the blow-up set of positive solutions to semilinear parabolic systems coupled in the equations and boundary conditions. The explicit upper and lower bounds of the blow-up rate are obtained. Moreover, it is proved that the blow-up set contains a single point x = 1 under the proper conditions on the initial data.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 67 , Issue 1 , February 2003 , pp. 180 - 194
Copyright
The London Mathematical Society, 2003

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