J-Self-Adjointness of a Class of Dirac-Type Operators

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In this note we prove that the maximally defined operator associated with a class of Dirac-type differential expressions M(Q) is J-self-adjoint with respect to a proper antilinear conjugation J under the general hypothesis that the entries of the matrix potential coefficient Q are locally integrable on the real line. The Dirac-type differential expression M(Q) is of significance as it appears in the Lax formulation of the nonabelian (matrix-valued) focusing nonlinear Schrödinger hierarchy of evolution equations.
8 pages. To appear in J. Math. Anal. Appl

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Spectral Theory, Mathematical Physics, 34L40; 35Q55

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http://salesiana.dossiersoluciones.com/handle/123456789/70630

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403491
 http://arxiv.org/abs/math/0403491

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arXiv