EXISTENCE AND UNIQUENESS OF SMOOTH SOLUTION FOR SYSTEM OF FERROMAGNETIC CHAIN
Zhou, Y. L.
Guo, B. L.
Tan, S. B.
- 数学科学－已发表论文 
In this paper, we are going to consider the initial value problem with periodic boundary condition and the Cauchy problem associated with the system of ferromagnetic chain with the Gilbert damping term Z(t) = -epsilon-ZX(ZXZ(xx)) + ZXZ(xx), (8 greater-than-or-equal-to 0). The existence of a unique smooth solution is established by using the technique of spatial difference and crucial a priori estimates of higher-order derivatives in Sobolev spaces.