On the compatibility condition for linear systems and a factorization formula for wave functions

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Sakhnovich, Alexander

关键词: Compatibility;    Initial-boundary value problem;    Wave function;    Fundamental solution;    Factorization;    Inverse spectral transform;    Integrable equation;   

DOI  :  10.1016/j.jde.2011.11.001

来源: Elsevier

【 摘 要 】

The well-known compatibility condition for linear systems w(x) = Gw and w(t) = Fw is considered and new results are obtained. In this way, a factorization formula for wave functions, which is basic in the inverse spectral transform approach to initial-boundary value problems, is proved in greater generality than before. Some applications follow. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free