Nonlinear pseudodifferential equations on a half-line with large initial data

Cardiel, Rosa E.Kaikina, Elena I.2021-07-192021-07-192006-08-09Cardiel, R. E., & Kaikina, E. I. (2006). Nonlinear pseudodifferential equations on a half-line with large initial data. <i>Electronic Journal of Differential Equations, 2006</i>(89), pp. 1-16.1072-6691https://hdl.handle.net/10877/13962We study the initial-boundary value problem for nonlinear pseudodifferential equations, on a half-line, ut + λ|u|σu + Lu = 0, (x, t) ∈ ℝ⁺ x ℝ⁺, u(x, 0) = u0(x), x ∈ ℝ⁺, where λ > 0 and pseudodifferential operator L is defined by the inverse Laplace transform. The aim of this paper is to prove the global existence of solutions and to find the main term of the asymptotic representation in the case of the large initial data.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalPseudodifferential operatorLarge dataAsymptotic behaviorNonlinear pseudodifferential equations on a half-line with large initial dataArticle