Tesi etd-11282018-111727 |
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Tipo di tesi
Tesi di dottorato di ricerca
Autore
SHRIVASTAVA, HARISH
Indirizzo email
harish.niser@gmail.com
URN
etd-11282018-111727
Titolo
Shape Optimisation Problems for Integral Functionals and Regularity Properties of Optimal Domain
Settore scientifico disciplinare
MAT/05
Corso di studi
MATEMATICA
Relatori
tutor Prof. Buttazzo, Giuseppe
Parole chiave
- finite perimeter
- integral func- tionals.
- quasi open sets
- shape optimization
Data inizio appello
03/12/2018
Consultabilità
Completa
Riassunto
We consider shape optimization problems for general integral func-
tionals of the calculus of variations, defined on a domain Ω that varies over all
subdomains of a given bounded domain D of Rd. We show in a rather elementary
way the existence of a solution that is in general a quasi open set. Under very
mild conditions we show that the optimal domain is actually open and with finite
perimeter. Some counterexamples show that in general this does not occur.We also look into further regularity issues posing the shape optimisation problem as a free boundary problem.
tionals of the calculus of variations, defined on a domain Ω that varies over all
subdomains of a given bounded domain D of Rd. We show in a rather elementary
way the existence of a solution that is in general a quasi open set. Under very
mild conditions we show that the optimal domain is actually open and with finite
perimeter. Some counterexamples show that in general this does not occur.We also look into further regularity issues posing the shape optimisation problem as a free boundary problem.
File
| Nome file | Dimensione |
|---|---|
| Attivit_svolte_.pdf | 75.25 Kb |
| Thesis.pdf | 667.71 Kb |
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