Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources

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Abstract

This paper deals with two classes of parabolic systems with localized nonlinear sources. The critical exponents as well as the estimates for blow-up rates and boundary layer profiles are determined.

Keywords

Critical exponents
Parabolic systems
Global solutions
Blow-up
Blow-up rates
Boundary layers
Asymptotic estimates

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Supported by the National Natural Science Foundation of China.