De Mottoni, P.; Rothe, F. Convergence to homogeneous equilibrium state for generalized Volterra- Lotka systems with diffusion. (English) Zbl 0425.35055 SIAM J. Appl. Math. 37, 648-663 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 55 Documents MSC: 35K55 Nonlinear parabolic equations 35B32 Bifurcations in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs 35B45 A priori estimates in context of PDEs Keywords:asymptotic behavior; absence of spatial patterns; reaction-diffusion systems; unique space-independent equilibrium solution; Ljapunov functional; a-priori estimates PDFBibTeX XMLCite \textit{P. De Mottoni} and \textit{F. Rothe}, SIAM J. Appl. Math. 37, 648--663 (1979; Zbl 0425.35055) Full Text: DOI