Threshold results for semilinear parabolic systems
Qiuyi Dai Haiyang He Junhui Xie
TL;DR
This paper establishes a threshold criterion for the behavior of solutions to semilinear parabolic systems with power-type nonlinearities, aiding in understanding their long-term dynamics.
Contribution
It introduces a new threshold result specifically for semilinear parabolic systems with pure power nonlinearities, advancing theoretical understanding.
Findings
Established a threshold criterion for solution behavior
Identified conditions for blow-up or global existence
Enhanced understanding of nonlinear parabolic systems
Abstract
A threshold result was proved in this paper for semilinear parabolic system with pure power type nonlinearities
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Taxonomy
TopicsStability and Controllability of Differential Equations · Nonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering