Works cited by this work

36 works

Work: Waveguides with Combined Dirichlet and Robin Boundary Conditions

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   ABIABI:AkademIndex/openalex/2026.other.158858

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.489790

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.489791

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.489793

23. Untitled

    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.489794

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.489795

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.489796