HAUS EMANUELE
teacher profile teaching materialsMutuazione: 20410518 AM420 - SPAZI DI SOBOLEV ED EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 HAUS EMANUELE, FEOLA ROBERTO
Programme
Preliminaries- Weak topologies and weak convergence, weak lower semi-continuity of the
norm
- L^P spaces: reflexivity, separability, criteria for strong compactness.
Sobolev spaces and variational formulation of boundary value problems in
dimension one
- Motivations
- The Sobolev space W^{1,p} (I)
- The space W^{1,p}_0 (I)
- Some examples of boundary value problems
- Maximum principle
Sobolev spaces and variational formulation of boundary value problems in
dimension N
- Definition and basic properties of the Sobolev spaces W^{1,p} (Omega)
- Extension operators
- Sobolev inequalities
- The space W^{1,p}_0 (Omega)
- Variational formulation of some elliptic boundary value problems
- Existence of weak solutions
- Regularity of weak solutions
- Maximum principle
Core Documentation
Functional analysis, H. Bre'zisType of delivery of the course
The course plans lectures.Attendance
Attendance is not required but strongly suggested.Type of evaluation
Seminar on a research paper.FEOLA ROBERTO
teacher profile teaching materialsMutuazione: 20410518 AM420 - SPAZI DI SOBOLEV ED EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 HAUS EMANUELE, FEOLA ROBERTO
HAUS EMANUELE
teacher profile teaching materialsMutuazione: 20410518 AM420 - SPAZI DI SOBOLEV ED EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 HAUS EMANUELE, FEOLA ROBERTO
Programme
Preliminaries- Weak topologies and weak convergence, weak lower semi-continuity of the
norm
- L^P spaces: reflexivity, separability, criteria for strong compactness.
Sobolev spaces and variational formulation of boundary value problems in
dimension one
- Motivations
- The Sobolev space W^{1,p} (I)
- The space W^{1,p}_0 (I)
- Some examples of boundary value problems
- Maximum principle
Sobolev spaces and variational formulation of boundary value problems in
dimension N
- Definition and basic properties of the Sobolev spaces W^{1,p} (Omega)
- Extension operators
- Sobolev inequalities
- The space W^{1,p}_0 (Omega)
- Variational formulation of some elliptic boundary value problems
- Existence of weak solutions
- Regularity of weak solutions
- Maximum principle
Core Documentation
Functional analysis, H. Bre'zisType of delivery of the course
The course plans lectures.Attendance
Attendance is not required but strongly suggested.Type of evaluation
Seminar on a research paper.FEOLA ROBERTO
teacher profile teaching materialsMutuazione: 20410518 AM420 - SPAZI DI SOBOLEV ED EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 HAUS EMANUELE, FEOLA ROBERTO
HAUS EMANUELE
teacher profile teaching materialsMutuazione: 20410518 AM420 - SPAZI DI SOBOLEV ED EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 HAUS EMANUELE, FEOLA ROBERTO
Programme
Preliminaries- Weak topologies and weak convergence, weak lower semi-continuity of the
norm
- L^P spaces: reflexivity, separability, criteria for strong compactness.
Sobolev spaces and variational formulation of boundary value problems in
dimension one
- Motivations
- The Sobolev space W^{1,p} (I)
- The space W^{1,p}_0 (I)
- Some examples of boundary value problems
- Maximum principle
Sobolev spaces and variational formulation of boundary value problems in
dimension N
- Definition and basic properties of the Sobolev spaces W^{1,p} (Omega)
- Extension operators
- Sobolev inequalities
- The space W^{1,p}_0 (Omega)
- Variational formulation of some elliptic boundary value problems
- Existence of weak solutions
- Regularity of weak solutions
- Maximum principle
Core Documentation
Functional analysis, H. Bre'zisType of delivery of the course
The course plans lectures.Attendance
Attendance is not required but strongly suggested.Type of evaluation
Seminar on a research paper.FEOLA ROBERTO
teacher profile teaching materialsMutuazione: 20410518 AM420 - SPAZI DI SOBOLEV ED EQUAZIONI ALLE DERIVATE PARZIALI in Matematica LM-40 HAUS EMANUELE, FEOLA ROBERTO