Lecture notes, presentations and other materials

Lecture notes

I am typing up all my lecture notes. You can find the partially typed / handwritten files in the links below.    

• Partial differential equations 2 (MAST30173). handwritten, partially typed   (to appear in May 2024)

• Topics on the regularity of elliptic PDEs (S2B1). partially typed   (to appear in May 2024)

• Topics in inverse problems for nonlocal operators (S4B2).  (to appear in May 2024)

Presentations

• Inverse problems for fractional elasticity and anisotropic conductivity. pdf

• Unique continuation at the boundary for harmonic functions in special Lipschitz domains. pdf

• Uniqueness in an inverse problem for fractional elasticity. pdf

• Simultaneous recovery of boundary and bulk potentials for Calderòn problems with partial data. pdf

• Uniqueness for the fractional Calderòn problem with quasilocal perturbations. pdf

• The higher order fractional Calderòn problem with local perturbations. pdf

• Higher order Laplacians: Unique Continuation Property, Poincarè inequality and applications in Inverse Problems. pdf

• The Calderòn problem from classical to fractional. pdf

• An inverse problem for the fractional Schrödinger equation in a magnetic field. pdf

• Inverse problems for a fractional conductivity equation. pdf

• The Calderòn problem with corrupted data. pdf

• Higher regularity for elliptic equations. pdf

• Gödel's incompleteness theorem. pdf