On the ultra-hyperbolic wave operator

• Main Authors: Satsanit W., Kananthai A.
• Format: Article
• Language: English
• Published: 2014
• Online Access: http://www.scopus.com/inward/record.url?eid=2-s2.0-78649784373&partnerID=40&md5=50ff9cfa95e6a427f7a2abafbd0cd1ba; http://cmuir.cmu.ac.th/handle/6653943832/5727
• Institution: Chiang Mai University

In this paper, we study the generalized wave equation of the form ∂2 /∂t2|u(x,t) +c2(□) k u(x,t)=0 with the initial conditions u(x, 0) = f(x), ∂/∂t(x, 0) = g(x), where u(x, t) ⊂ Rℝn × 0, ∞), Rℝn is the n-dimensional Euclidean space, k is the ultra-hyperbolic operator iterated K-times defined by □k=(...