MATS340 Partial Differential Equations 2 (5 cr)

Sobolev spaces and inequalities (review), elliptic partial differential equations in divergence form and their weak solutions, existence of solutions, maximum and comparison principles, uniqueness of solutions, regularity of solutions, parabolic partial differential equations and their weak solutions

• is able to use basic tools of Sobolev spaces in dealing with partial differential equations 
  
• knows the weak definition of a solution to a partial differential equation and can verify in simple cases that a given example is a weak solution
  
• recognizes elliptic and parabolic partial differential equations and knows applicable existence, uniqueness and regularity results and techiques
  
• can apply the results for partial differential equations