Critical convective-type equations on a half-line

We are interested in the global existence and large-time behavior of solutions to the initial-boundary value problem for critical convective-type dissipative equations ut+ℕ(u,ux)+(an∂xn+am∂xm)u=0, (x,t)∈ℝ+×ℝ+, u(x,0)=u0(x), x∈ℝ+, ∂xj−1u(0,t)=0 for j=1,…,m/2, where the constants an,am∈ℝ, n, m are i...

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Bibliographic Details
Main Author: Elena I. Kaikina
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/84972
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