20410469 - AM430 - ELLITTIC PARTIAL DIFFERENTIAL EQUATIONS

To acquire a good knowledge of the general methods andÿclassical techniques necessary for the study of ordinary differential equations and their qualitative properties.

PROCESI MICHELA

teacher profile | teaching materials

Mutuazione: 20410469 AM430 - EQUAZIONI DIFFERENZIALI ORDINARIE in Matematica LM-40 PROCESI MICHELA

Programme

Local existence and uniqueness theorems, existence times and extensions. Escape from compact sets. Comparison theorems. Behavior of linear systems with constant coefficients. Jordan canonical form.
Differentiable functions on a Banach space. The Implicit Function Theorem. Applications to the search of periodic solutions. Lyapunov Schmidt decomposition. Hopf theorem. Dependence on initial data. The flow box theorem. Coordinate changes generated by the flow of a vector field. The Lie exponential. Poincare normal form.

Core Documentation

Note del docente.
Chierchia Analisi Matematica 2



Type of delivery of the course

Lectures and exercises

Type of evaluation

The written test consists of a series of exercises to be done at home. Then there is a colloquium on the topics of the course and the presentation of a dissertation.

PROCESI MICHELA

teacher profile | teaching materials

Mutuazione: 20410469 AM430 - EQUAZIONI DIFFERENZIALI ORDINARIE in Matematica LM-40 PROCESI MICHELA

Programme

Local existence and uniqueness theorems, existence times and extensions. Escape from compact sets. Comparison theorems. Behavior of linear systems with constant coefficients. Jordan canonical form.
Differentiable functions on a Banach space. The Implicit Function Theorem. Applications to the search of periodic solutions. Lyapunov Schmidt decomposition. Hopf theorem. Dependence on initial data. The flow box theorem. Coordinate changes generated by the flow of a vector field. The Lie exponential. Poincare normal form.

Core Documentation

Note del docente.
Chierchia Analisi Matematica 2



Type of delivery of the course

Lectures and exercises

Type of evaluation

The written test consists of a series of exercises to be done at home. Then there is a colloquium on the topics of the course and the presentation of a dissertation.