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arxiv: 0802.0323 · v1 · submitted 2008-02-04 · 🧮 math.AP

Factorization of the Indefinite Convection-Diffusion Operator

classification 🧮 math.AP
keywords operatorfactorizationsomeadmitsapplyconstructconvection-diffusiondifferential
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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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