29032 - Differential equations (2018/2019)

General information

29032 - Differential equations (ED, 7 CFU), first semester, years: 3° LT; 1°, 2° LM.

Course content

First order quasilinear equations. Classification of second order equations. Some classical linear equations of Mathematical Physics: the equations of Laplace, Poisson, the heat and the wave equation. General properties of the solutions: mean value property, maximum principle, energy estimates and their consequences. Some general techniques to obtain explicit formulas for solutions: separation of variables, Green’s function, reflection method, Duhamel’s principle, spherical means, method of descent.

Language

Italian

Teacher

Gianfranco Bottaro

Teaching style

In presence

Attendance

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