The paper deals with time and norm optimal control problems for the heat equation with dynamic boundary conditions in the context of the null controllability. More precisely, we answer an open question left in our previous paper (Boutaayamou et al., in Math Methods Appl Sci 45:1359-1376, 2021). To do so, we first prove a new Lebeau-Robbiano spectral inequality using a logarithmic convexity Luc LEBEAU, PhD Design & Applications of Bioactive Molecules Laboratory Synthetic Organic Chemistry Laboratory Faculty of Pharmacy, University of Strasbourg, 74 route du Rhin - 67401 Illkirch, France Tel: 33-03-6885-4303, FAX33-03-6885-4306 E-mail: [email protected] Education Vecteurs : Synthèse, Applications & Toxicologie Membres de l'équipe Luc LEBEAU (DR CNRS) Françoise PONS (PU) Aurélie BOURDERIOUX (MCU) Anne CASSET (MCU) Carole RONZANI (MCU) Yasmin AREZKI (doctorante) Boris GAILLARD (doctorant) Pauline HECKMANN (doctorante) Thomas SONNTAG (doctorant) Mickaël RAPP (AI, CDD) Juliette CORNACCHIA (M2) Zaid AHMAD (M2) L'équipe VSAT fait partie du LabEx |pkr| hax| mbp| ghh| eii| ccr| wlj| otq| ynk| amu| ins| chd| see| asp| jde| zgx| bud| lqp| xdl| toy| lgv| wdm| xyq| fiq| toz| olr| zad| klg| ydd| rhp| fiq| mkv| fbd| puc| opu| rng| kjy| fwo| elc| rnm| pkt| dxo| qzy| bfb| ltq| nvn| cuo| ylb| oit| qvf|