Initial-boundary Value Problems for Nonlinear Pseudoparabolic Equations in a Critical Case
نویسنده
چکیده
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.
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تاریخ انتشار 2007