Article information

1999 , Volume 4, ¹ 6, p.88-91

Kananthai A.

On the product of the Ultra-Hyperbolic operator related to the Elastic Waves

In this paper, we study the elementary solution of the product operator , where and are the ultra-hyperbolic operator iterated k-times and are defined by


and

where [Java Applet] (The n-dimensional Euclidean space), p + q = n, c1 and c2 are positive constants and k is a nonnegative integer. We found that the elementary solution of the operators related to the solution of an Elastic Waves depending on the conditions of p, q, k, c1 and c2.

[full text] Classificator Msc2000:
*35A18 Wave front sets
35C05 Solutions in closed form
35C10 Series solutions, expansion theorems
35M20 PDE of composite type

Keywords: elementary solution, elastic waves

Author(s):
Kananthai A
Office: Chiangmai University
Address: Thailand, Chiangmai
E-mail: malamnka@science.cmu.ac.th


Bibliography link:
Kananthai A. On the product of the Ultra-Hyperbolic operator related to the Elastic Waves // Computational technologies. 1999. V. 4. ¹ 6. P. 88-91
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