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.

Curriculum

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Programme

Existence, uniqueness, dependence on initial conditions, stability of fixed points, stable and unstable manifold, elliptic fixed points. Sturm-Liouville theory. Denjoy theory for circle diffeomorphisms.

Prerequisiti

Lebesgue integration.

Core Documentation

A. Ambrosetti, A. Malchiodi, Nonlinear Analysis.

Attendance

Two or three lessons a week.

Type of evaluation

Oral exeminatioin at the end, perhaps reading and exposing a not too difficult research paper.

teacher profile | teaching materials

Mutuazione: 20410469 AM430 - EQUAZIONI DIFFERENZIALI ORDINARIE in Matematica LM-40 R BESSI UGO

Programme

Existence, uniqueness, dependence on initial conditions, stability of fixed points, stable and unstable manifold, elliptic fixed points. Sturm-Liouville theory. Denjoy theory for circle diffeomorphisms.

Prerequisiti

Lebesgue integration.

Core Documentation

A. Ambrosetti, A. Malchiodi, Nonlinear Analysis.

Attendance

Two or three lessons a week.

Type of evaluation

Oral exeminatioin at the end, perhaps reading and exposing a not too difficult research paper.