Cauchy problem of the Δ(^k) operator related to the Diamond operator and the Laplace operator iterated k times

• Main Author: Bunpog C.
• Format: Journal
• Published: 2017
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84885335136&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/42954
• Institution: Chiang Mai University

Given the Laplace operator Δ is defined by the Ultra-hyperbolic operator iterated k times k is defined by where p + q = n is the dimension of the Euclidean space ℝ n . In this paper, we study Cauchy problem and fundamental solution of the Δ( k ) operator by using Green's identity, In particul...