
 The student understands the definition and classification of hyperbolic equations.
 The student is familiar with basic properties of linear wave equations.
 The student is aware of standard local/global existence results for semi and quasilinear wave equations.
 The student can work with weak solutions.
 The student is able to use energy estimates, Fourier transform, Strichartz estimates etc.


Nonlinear wave equations are an important class of secondorder partial differential equations. These equations occur in an abundance of problems in science and engineering. Wave equations are, in particular, indispensable for an understanding of physical phenomena such as acoustics, electromagnetics, fluid dynamics and general relativity. In this course we cover the basic tools and results for linear and nonlinear wave equations.




This course will be taught in English. 
Written exam (oral if the number participants is low) and assignments. 
Analysis 1 and 2, basic knowledge of ODEs and PDEs. 
  Recommended materialsBookISBN  :   9781571462794 
Title  :   Lectures on NonLinear Wave Equations 
Author  :   C. Sogge 
Edition  :   2 
 BookISBN  :   9780821827499 
Title  :   Geometric Wave Equations 
Author  :   J. Shatal and M. Struwe 
 BookISBN  :   9780821849743 
Title  :   Partial Differential Equations 
Author  :   L. Evans 
Edition  :   2 

 Instructional modesCourseAttendance Mandatory   Yes 

 TestsTentamenTest weight   1 
Opportunities   Block KW4, Block KW4 


 