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• W3121779079 abstract "The general goal of this work is to obtain upper and lower bounds for the $ L^2 $-norm of biorthogonal families to complex exponential functions associated to sequences $ left{{ Lambda_k}right}_{k ge 1} subset {mathbb{{C}}} $ which satisfy appropriate assumptions but without imposing a gap condition on the elements of the sequence. As a consequence, we also present new results on the cost of the boundary null controllability of two parabolic systems at time $ T > 0 $: a phase-field system and a parabolic system whose generator has eigenvalues that accumulate. In the latter case, the behavior of the control cost when $ T $ goes to zero depends strongly on the accumulation parameter of the eigenvalue sequence." @default.
• W3121779079 created "2021-02-01" @default.
• W3121779079 creator A5062271643 @default.
• W3121779079 creator A5067487247 @default.
• W3121779079 date "2023-01-01" @default.
• W3121779079 modified "2023-10-15" @default.
• W3121779079 title "Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions" @default.
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• W3121779079 doi "https://doi.org/10.3934/eect.2023044" @default.
• W3121779079 hasPublicationYear "2023" @default.
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