| Detailed information | 
                                
                    
                      | Original study plan | Bachelor's programme Technical Mathematics 2022W | 
                      
                    
                      | Objectives | Students will be able to apply the direct methods of the calculus of variations to obtain solutions to a variaty of nonlinear PDE problems of Euler Lagrange type. | 
                      
                    
                      | Subject | The calculus of variations provides existence of solutions to the class of Euler Lagrange equations which are typically nonlinear equations of divergence type. The methods  covered in this course include: Dirichlet principle, Lagrangians, coercivity, convexity, existence of minimizers, critical point methods, mountain pass theorems, Palais-Smale conditions. | 
                                                            
                    
                      | Criteria for evaluation | Oral exam | 
                       
                    
                                 
                    
                      | Methods | Blackboard presentation | 
                                     
                    
                      | Language | English and French | 
                      
                    
                      | Study material | weakly handouts by the lecturer
L. C. Evans: PDE (Chapter 8)
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                      | Changing subject? | No | 
                                        
                      | Further information | Until term 2022S known as: TM1WGVOVARI VL Calculus of variation | 
    
                                        
                      | Earlier variants | They also cover the requirements of the curriculum (from - to) TM1WGVOVARI: VO Calculus of variation (1999W-2022S)
 
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