Type: Article

Critical nonlinear nonlocal equations on a half-line

Elena I. Kaikina; Leonardo Guardado-Zavala; Hector F. Ruiz-Paredes; Jesus A. Mendez Navarro;

Abstract:

We study nonlinear nonlocal equations on a half-line in the critical case [GRAPHICS] (0.1) where beta is an element of C. The linear operator K is a pseudodi. erential operator de. ned by the inverse Laplace transform with dissipative symbol K(p) = E(alpha)p(alpha), the number M = [alpha/2]. The aim of this paper is to prove the global existence of solutions to the inital-boundary value problem (0.1) and to find the main term of the large time asymptotic representation of solutions in the critical case.