On the diamond operator related to the wave equation

• 主要作者: Kananthai A.
• 格式: Article
• 語言: English
• 出版: 2014
• 在線閱讀: http://www.scopus.com/inward/record.url?eid=2-s2.0-0035425986&partnerID=40&md5=1e02c1a1882767e2eb169871cbb334f2; http://cmuir.cmu.ac.th/handle/6653943832/4792

In this paper, we study the solution of the equation ◇ku(x) = f (x) where ◇k is the Diamond operator iterated k times and is defined by ◇k ((∑i=1p ∂2/∂xi2)2 -(∑j=p+1p+q ∂2/∂xj2)2)k where p+q = n is the dimension of the n-dimensional Euclidean space Rn, x = (x1, x2, ..., xn) ∈ Rn, k is a nonnegative...