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MATHEMATICAL PHYSICS

Degree course: 
Academic year when starting the degree: 
2014/2015
Year: 
3
Academic year in which the course will be held: 
2016/2017
Course type: 
Compulsory subjects, characteristic of the class
Credits: 
8
Period: 
First Semester
Standard lectures hours: 
80
Detail of lecture’s hours: 
Lesson (80 hours)
Requirements: 

Multivariable calculus

Assessment: 
Voto Finale

Provide an introduction to the most common linear partial differential equations of mathematical physics

The wave and heat equations. Elements of distribution theory: derivative, Fourier transform, convolution, fundamental solutions. The wave and heat equations on a interval, Fourier series. The Dirichlet and Neumann problems for the Laplace equation on a bounded domain. Green’s functions. The wave and heat equations in a bounded domain. The Dirichlet’s principle. The variational characterization of eigenvalues. The Weyl’s theorem on the asymptotic behaviour of eigenvalues

W. Strauss, Partial Differential Equations, Wiley
F. John, Partial Differential Equations, Springer
R. Strichartz, A guide to distribution theory and Fourier transform, CRC press

Professors

POSILICANO ANDREA

Borrowers