@Article{JPDE-22-3,
author = {},
title = {Asymptotically Self-similar Global Solutions for a Higher-order Semilinear Parabolic System},
journal = {Journal of Partial Differential Equations},
year = {2009},
volume = {22},
number = {3},
pages = {282--298},
abstract = {<p>In this paper, we study the higher-order semilinear parabolic system u_t+(-Δ)^mu=a|v|^{p-1}v, t(x)∈R^1_+×R^N, v_t+(-Δ)^mv=b|u|^{q-1}u, t(x)∈R^1_+×R^N, u(0,x)=φ(x), v(0,x)=ψ(x), x∈R^N, where m, p, q &gt; 1, a,b∈R. We prove that the global existence of mild solutions for small initial data with respect to certain norms. Some of these solutions are proved to be asymptotically self-similar.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v22.n3.6},
url = {https://global-sci.com/article/88425/asymptotically-self-similar-global-solutions-for-a-higher-order-semilinear-parabolic-system}
}