Pappalardo, Francesco (2018) Weighted Multipolar Hardy Inequalities in R^N and Kolmogorov Type Operators. [Tesi di dottorato]
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| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | Weighted Multipolar Hardy Inequalities in R^N and Kolmogorov Type Operators |
| Autori: | Autore Email Pappalardo, Francesco pappalardo89@libero.it |
| Data: | 10 Dicembre 2018 |
| Numero di pagine: | 96 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dipartimento: | Matematica e Applicazioni "Renato Caccioppoli" |
| Dottorato: | Scienze matematiche e informatiche |
| Ciclo di dottorato: | 31 |
| Coordinatore del Corso di dottorato: | nome email de Giovanni, Francesco degiovan@unina.it |
| Tutor: | nome email de Giovanni, Francesco [non definito] |
| Data: | 10 Dicembre 2018 |
| Numero di pagine: | 96 |
| Parole chiave: | Weighted Hardy Inequalities |
| Settori scientifico-disciplinari del MIUR: | Area 01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
| Depositato il: | 19 Dic 2018 09:15 |
| Ultima modifica: | 26 Giu 2020 08:36 |
| URI: | http://www.fedoa.unina.it/id/eprint/12587 |
Abstract
The main purpose of the thesis, which describes the topics I was involved and the results achieved so far, is to introduce the multipolar weighted Hardy inequalities in R^N in the context of the study of Kolmogorov type operators perturbed by singular potentials and of the related evolution problems. The thesis describes, in the first part (Chapter 1), the reference results we can find in literature about the behaviour of the operators with inverse square potentials in the unipolar and multipolar case (existence and nonexistence of positive solutions to evolution problems with Schrodinger and Kolmogorov type operators and positivity of the quadratic form associated with Schrodinger operators). Furthermore we recall the Hardy inequalities in the case of Lebesgue measure and in the weighted case. In the second part (Chapters 2 and 3) we report our results about Kolmogorov type operators and weighted Hardy inequalities.
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