Cosner, Chris Pointwise a priori bounds for strongly coupled semi-linear systems of parabolic partial differential equations. (English) Zbl 0467.35014 Indiana Univ. Math. J. 30, 607-620 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 7 Documents MSC: 35B40 Asymptotic behavior of solutions to PDEs 35B35 Stability in context of PDEs 35K55 Nonlinear parabolic equations 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations Keywords:strongly coupled systems; asymptotic behavior; semilinear systems; Lyapunov functions; pointwise boundedness; decay; second order systems of parabolic partial differential equations; Sobolev space; regularity theorems; invariant set; maximum principle; Nagumo-Westphal lemma PDFBibTeX XMLCite \textit{C. Cosner}, Indiana Univ. Math. J. 30, 607--620 (1981; Zbl 0467.35014) Full Text: DOI