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Smooth solution for one-dimensional inhomogeneous Heisenberg chain equations

Published online by Cambridge University Press:  14 November 2011

Shijin Ding
Affiliation:
Department of Mathematics, South China Normal University, Guangzhou 510631, People's, Republic of China
Boling Guo
Affiliation:
Centre for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, People's, Republic of China
Fengqiu Su
Affiliation:
Centre for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, People's, Republic of China

Extract

Using the viscosity vanishing method, we obtain the existence of a smooth solution to the inhomogeneous Heisenberg chain equations in one dimension. The uniqueness of the solution to the viscosity equation is also given.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1999

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