Factorization of the Indefinite Convection-Diffusion Operator

Details Factorization of the Indefinite Convection-Diffusion Operator Factorization of the Indefinite Convection-Diffusion Operator

2008-02-04

arxiv.org/abs/0802.0323v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

We prove that some non-self-adjoint differential operator admits
factorization and apply this new representation of the operator to construct
explicitly its domain. We also show that this operator is J-self-adjoint in
some Krein space.

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