Initial-boundary value problems for nonlinear pseudoparabolic equations in a critical case
MetadataShow full metadata
We study nonlinear pseudoparabolic equations, on the half-line in a critical case,
∂t(u - uxx) - αuxx = λ|u|u, x ∈ ℝ+, t > 0,
u(0, x) = u0(x), x ∈ ℝ+,
u(t, 0) = 0,
where α > 0, λ ∈ ℝ. The aim of this paper is to prove the existence of global solutions to the initial-boundary value problem and to find the main term of the asymptotic representation of solutions.
CitationKaikina, E. I. (2007). Initial-boundary value problems for nonlinear pseudoparabolic equations in a critical case. Electronic Journal of Differential Equations, 2007(109), pp. 1-11.
This work is licensed under a Creative Commons Attribution 4.0 International License.