Nonlinear pseudoparabolic type equations on a half-line with large initial data Original Research Article

We study nonlinear pseudoparabolic type equations on a half-line View the MathML source{∂t(u−uxx)−αuxx=λ|u|σu,x∈R+,t>0,u(0,x)=u0(x),x∈R+,u(t,0)=0, Turn MathJax on where View the MathML sourceα>0,σ>0,λ∈R. The aim of this paper is to prove the global existence of solutions to the initial–boundary value problem and to find the main term of the asymptotic representation of the solutions.