Existence of global solutions to reaction-diffusion systems via a Lyapunov functional
The purpose of this paper is to construct polynomial functionals (according to solutions of the coupled reaction-diffusion equations) which give $L^{p}$-bounds for solutions. When the reaction terms are sufficiently regular, using the well known regularizing effect, we deduce the existence of global...
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| Format: | Article |
| Language: | English |
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Texas State University
2001-10-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/68/abstr.html |