On the operator ⊗<inf>B</inf>^kRelated to the Bessel heat equation

• Main Authors: Eakachai Suntonsinsoungvon, Amnuay Kananthai
• Format: Journal
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78649783617&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/49227
• Institution: Chiang Mai University

In this article, we study the equation ∂/∂t u(x, t) = c 2⊗Bk u(x, t) with the initial condition u(x, 0) = f(x) for x ∈ ℝn+, where the operator ⊗Bk is deflned by ⊗Bk = [(Bx1 +⋯+ Bxp)3 - (BXp+1 +⋯+ BXp+q)3]k, p + q = n is the dimension of the space ℝn+, Bxi = ∂2/∂xi2 + 2vi/x i ∂/ ∂xi, 2vi = 2αi + 1, α...