PublicaciĂłn: ANALITICITY OF THE TYPE III THERMOELASTIC EULER BERNOULLI MODEL WITH TIP
Fecha
2022
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Editor
ACTA APPLICANDAE MATHEMATICAE
Resumen
WE CONSIDER THE THERMOELASTIC MODEL FOLLOWING THE TYPE III THEORY FOR THE EULER BERNOULLI BEAM EQUATION WITH TIP. WE PROVE THAT THE CORRESPONDING SEMIGROUP IS ANALYTIC. IN PARTICULAR, THIS IMPLIES: THE SMOOTHING EFFECT OVER THE INITIAL DATA, THE EXPONENTIAL STABILITY OF THE SEMIGROUP AND THAT THE RATE OF DECAY OF THE SEMIGROUP IS EQUAL TO THE SPECTRAL BOUND OF ITS GENERATOR (LINEAR STABILITY PROPERTY).
DescripciĂłn
Palabras clave
Type III thermoelasticity, Smoothing effect, Semigroup theory, Euler Bernoulli equation, Analyticity
