3,827 research outputs found
W-graph ideals II
In "W-graph ideals" (Robert B. Howlett and Van Minh Nguyen) the concept of a
W-graph ideal in a Coxeter group was introduced, and it was shown how a W-graph
can be constructed from a given W-graph ideal. In this paper, we describe a
class of W-graph ideals from which certain Kazhdan-Lusztig left cells arise.
The result justifies the algorithm as illustrated in "W-graph ideals" for the
construction of W-graphs for Specht modules for the Hecke algebra of type A.Comment: 16 page
Perron Theorem in the Monotone Iteration Method for Traveling Waves in Delayed Reaction-Diffusion Equations
In this paper we revisit the existence of traveling waves for delayed
reaction diffusion equations by the monotone iteration method. We show that
Perron Theorem on existence of bounded solution provides a rigorous and
constructive framework to find traveling wave solutions of reaction diffusion
systems with time delay. The method is tried out on two classical examples with
delay: the predator-prey and Belousov-Zhabotinskii models.Comment: 17 pages. To appear in Journal of Differential Equation
Classical solution of the Cauchy problem for biwave equation: Application of Fourier transform
In this paper, we use some Fourier analysis techniques to find an exact
solution to the Cauchy problem for the -dimensional biwave equation in the
upper half-space .Comment: 11 page
- β¦