On the operator bk related to the bessel heat equation

• المؤلفون الرئيسيون: Niyom S., Kananthai A.
• التنسيق: مقال
• اللغة: English
• منشور في: 2014
• الوصول للمادة أونلاين: http://www.scopus.com/inward/record.url?eid=2-s2.0-78649863296&partnerID=40&md5=44ff05a49701c636a15a3dec7ebbc28c; http://cmuir.cmu.ac.th/handle/6653943832/6136

In this paper, we study the equation ∂/∂t u(x, t) = c2Bk u(x, t) with the initial condition u(x, 0) = f(x) for x ∈ ℝn+, where the operator Bk is defined by Bk = [(Bx1 + ⋯ B xp)3 + (Bxp+1 + ⋯ + B xp-q)3]k, p+q = n is the dimension of the space ℝ2+ = {x = (x1, x2,. . . xn) : x1 > 0, x2 >...