PDE lecture Notes (last updated in 2016)
 

• Lecture 1 (Introduction & Basics)

• Lecture 2 (Heat Equation)

• Lecture 3 (Laplace Equation I)

• Lecture 4 (3D Harmonic Equation)

• Lecture 5-1 (Green’s Function for the Laplace Equation)

• Lecture 5-2 (Minimizing a Loss Function)

• Lecture 6 (Sobolev Spaces & History)

• Lecture 7 (Lax–Milgram Theorem)

• Lecture 8 (Euler–Lagrange Equation)

• Lecture 9 (Regularity Theory)