ABSTRACT

In this chapter we study certain aspects of the asymptotic behavior of the solutions of the system () ∂ u i ∂ t = ν i     Δ u i + B i ( u 1 ,   .   .   .   , u N )   on     Ω x(0,   ∞ ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203746912/cbbb9f02-c3fc-4f9a-8cf0-f291c3aab7be/content/eq260.tif"/> () ∂ u i ∂ n | ∂ Ω = 0   on     ∂ Ω x(0,   ∞ ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203746912/cbbb9f02-c3fc-4f9a-8cf0-f291c3aab7be/content/eq261.tif"/> () u i ( x,   0)   =   f(x) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203746912/cbbb9f02-c3fc-4f9a-8cf0-f291c3aab7be/content/eq262.tif"/>