|Tuesday||11:30 AM - 1:30 PM||lesson||Lecture Hall M|
|Thursday||11:30 AM - 1:30 PM||lesson||Lecture Hall M|
The course aims to give an introductory overview of the theoretical aspects of those fundamental partial differential equations that arise as important models to describe phenomena (diffusion, transport, reaction, wave propagation) in Physics, Biology, economical/social sciences and data analysis.
Fundamental examples of first order and second order PDEs (transport, Hamilton-jacobi, Laplace, heat, wave and Schrödinger). Classical and weak solutions. Representation formulae through Green functions or series expansions. Second order elliptic, parabolic and hyperbolic equations (Existence, uniqueness, stability and comparison principles). Variational methods.
Oral presentation of selected topics of the course program together within an individual project to be agreed with course instructors.
Strada le Grazie 15
VAT number 01541040232
Italian Fiscal Code 93009870234
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