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On the stability of the transport equation

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Abstract

We consider boundary value problems associated with the equation Tϕ′=−Aϕ in a Hilbert Space, where T and A are bounded, self adjoint, injective, and A has a bounded inverse. We discuss the stability of the solution ϕ when A is perturbed by a self adjoint operator.

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Authors and Affiliations

  1. Department of Mathematics, Western Illinois University, 61455, Macomb, IL.

    R. J. Hangelbroek

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  1. R. J. Hangelbroek
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Hangelbroek, R.J. On the stability of the transport equation. Integr equ oper theory 8, 1–12 (1985). https://doi.org/10.1007/BF01199979

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  • DOI: https://doi.org/10.1007/BF01199979

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