On the ultra-hyperbolic wave operator

• Main Authors: Wanchak Satsanit, Amnuay Kananthai
• Format: Journal
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78649784373&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/49224
• 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=(...