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Elenco seminari del ciclo di seminari “CORSO DI DOTTORATO”
Introduction and Preliminaries
Background: Familiarity with basic PDE theory (for example Harmonic functions, max principle...) and basic facts about Sobolev Spaces.
Holder regularity of weak solutions to divergence and non-divergence elliptic equations. (II) De Giorgi- Nash-Moser Theorem.
Background: Familiarity with basic PDE theory (for example Harmonic functions, max principle...) and basic facts about Sobolev Spaces.
Holder regularity of weak solutions to divergence and non-divergence elliptic equations. (III) Harnack Inequality.
Background: Familiarity with basic PDE theory (for example Harmonic functions, max principle...) and basic facts about Sobolev Spaces.
Holder regularity of weak solutions to divergence and non-divergence elliptic equations.
Background: Familiarity with basic PDE theory (for example Harmonic functions, max principle...) and basic facts about Sobolev Spaces.
Regularity Theory for Elliptic equations: (VI) Conclusive remarks and if time and students' preparation allows it, the Dirichlet problem for the minimal surface equation.
Holder regularity of weak solutions to divergence and non-divergence elliptic equations.
Background: Familiarity with basic PDE theory (for example Harmonic functions, max principle...) and basic facts about Sobolev Spaces.