Lecture notes, presentations and other materials
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). v2.10 (2.5.25)
Topics on the regularity of elliptic PDEs (S2B1). partially typed (to appear)
Topics in inverse problems for nonlocal operators (S4B2). (to appear)
Presentations
Nonlocality in Inverse problems (2025 version). pdf
Parametrix and recovery of an extended Maxwell model from boundary data. (to appear)
Geometrical optics solutions for nonlocal scattering. pdf
Quantum algorithms for inverse problems. pdf (this talk includes a short crash course on quantum computing).
Fractional random walks on graphs (AMS-UMI 2nd joint meeting version). pdf
Reducing the nonlocal Calderón problem to the local Calderón problem. pdf
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