Nonlinear pseudodifferential equations on a half-line with large initial data
Date
2006-08-09
Authors
Cardiel, Rosa E.
Kaikina, Elena I.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We 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.
Description
Keywords
Pseudodifferential operator, Large data, Asymptotic behavior
Citation
Cardiel, 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.
Rights
Attribution 4.0 International