摘要
为考察高维双曲方程的边值问题,本文引进可换四元数空间,并在此空间中讨论了可换四元数代数中一类一阶双曲方程的Riemann-Hilbert边值问题,我们获得了在指标非负的情况下唯一解的一般形式,以及在有指标小于零时代不同情况下Riemann-Hilbert边值问题的可解条件.
In this paper, we study thee Riemann-Hilbert boundary value problem on the unit disk for a class of first order hyperbolic equation in commutative quaternion algebra. By changing this problem into a boundary value problem for a second order homogeneous equation and another boundary value problem for a inhomogeneous Cauchy -Riemann system, we obtain the general solution in the case of nonnegative exponents and the solvable condition of the problem in the case of negative exponents existing.
出处
《西南民族大学学报(自然科学版)》
CAS
2008年第4期656-659,共4页
Journal of Southwest Minzu University(Natural Science Edition)