On the operator ⊗BkRelated to the Bessel heat equation

• المؤلفون الرئيسيون: Suntonsinsoungvon E., Kananthai A.
• التنسيق: مقال
• اللغة: English
• منشور في: 2014
• الوصول للمادة أونلاين: http://www.scopus.com/inward/record.url?eid=2-s2.0-78649783617&partnerID=40&md5=857a0effb6e482c820fc98def6bf580a; http://cmuir.cmu.ac.th/handle/6653943832/5735
• المؤسسة: 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...