An Ingham--Müntz type theorem and simultaneous observation problems
Copyright policy )An Ingham--Müntz type theorem and simultaneous observation problems
We establish a theorem combining the estimates of Ingham and Müntz – Szász. Moreover, we allow complex exponents instead of purely imaginary exponents for the Ingham type part or purely real exponents for the Müntz – Szász part. A very special case of this theorem allows us to prove the simultaneous observability of some string–heat and beam–heat systems.
Nous établissons un théorème combinant les évaluations de type Ingham et Müntz – Szász.
Observability, observability, heat equation, équation de la chaleur, Initial-boundary value problems for higher-order hyperbolic equations, Müntz--Szász theorem, séries de Fourier non harmoniques, Observabilité, Initial-boundary value problems for second-order parabolic equations, beam equation, théorème de Müntz--Szász, wave equation, Initial-boundary value problems for second-order hyperbolic equations, Müntz-Szász theorem, équation des ondes, Ingham's theorem, non-harmonic Fourier series, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Observability, observability, heat equation, équation de la chaleur, Initial-boundary value problems for higher-order hyperbolic equations, Müntz--Szász theorem, séries de Fourier non harmoniques, Observabilité, Initial-boundary value problems for second-order parabolic equations, beam equation, théorème de Müntz--Szász, wave equation, Initial-boundary value problems for second-order hyperbolic equations, Müntz-Szász theorem, équation des ondes, Ingham's theorem, non-harmonic Fourier series, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
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