The Local Well-posedness of The Higher-order Camassa-Holm Equation
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2013, Vol 4, Issue 4
Abstract
In this paper, the local well-posedness of the Cauchy problem for the higher-order Camassa-Holm equation is studied with the initial data in ( ) s H R , s k by using Bourgain technology.
Authors and Affiliations
DAN-PING DING
Fact Type Results in Half Domination in Graphs
Let G = (V, E) be a finite graph with n vertices and m edges. A subset D⊆ V of vertices in a graph G is called half dominating set if at least half of the vertices of V(G) are either in D or adjacent to vertices of D. (i...
Reflection and Transmission of Elastic Waves at the Loosely Bonded Solid-Solid Interface
Reflection and transmission phenomenon of plane waves at a loosely bonded interface between linear isotropic elastic solid half space and fluid saturated incompressible porous solid half space is studied in the present s...
Rough Sets on Topological Spaces
Rough Set Theory propsed by Zdzilaw Pawlak as a mathematical tool for approaching imprecise knowledge and it has many applications in Datamining, Machine Learning,Morphology, Control Theory and Medicine etc., The basic c...
Common Fixed Point Theorems in Quasi-Gauge Space for Six Self Maps
The aim of this paper is to prove, mainly, a common fixed point theorem for six self mappings and its consequences under the condition of weakly compatible mappings in a Quasi-Gauge space.
Degree of Approximation of a Function Belongingto W (Lr, ξ (t)) (r > 1)-Class by (E, 1)(C, 2) Product Summabilty Transform
The field of approximation theory is so vast that it plays an increasingly important role in applications in pure and applied mathematics. The present study deals with a theorem concerning the degree of approximation of...