Partial Differential Equations

People with expertise in this area
Research interests

Sisto Baldo: Associate Professor
Francesco Ferraresso: Temporary Assistant Professor

Giandomenico Orlandi: Full Professor

Research interests
Topic	People	Description
PDEs in connection with biology, chemistry and other natural sciences	Francesco Ferraresso	Well-posedness of systems of semilinear and quasilinear parabolic equations modelling the diffusion and aggregation of Aβ-amyloids in the brain, including chemotactical terms of Keller-Segel type.
Maxwell equations	Francesco Ferraresso	Analysis of the spectral properties and spectral approximation of the Maxwell system, even with tensor coefficients and in dispersive media, including metamaterials.
Elliptic equations and elliptic systems	Sisto Baldo Giandomenico Orlandi	Studying existence, regularity, and qualitative properties of solutions to second-order elliptic equations and systems of equations, possibly by variational techniques
Spectral theory and eigenvalue problems for partial differential equations	Francesco Ferraresso	Eigenvalue analysis of elliptic differential operators, possibly of high order. Dependence of the spectrum upon geometrical perturbations, including Hadamard formulae.