This special session will be focused on stationary and evolution problems involving second and higher order partial differential operators. Particular emphasis will be paid on their applications in the fields of physics, engineering and technology. Among other topics, the talks of our session will deal with classical aspects in the theory of partial differential equations like existence, uniqueness/multiplicity, asymptotic behavior, regularity and stability of solutions. The set of speakers will be composed of both young researchers who have at the same time a wide experience in the field of nonlinear partial differential equations and internationally recognized experts in the mentioned fields.

• Carlos Escudero Liébana (Autonomous University of Madrid and Institute for Mathematical Sciences CSIC-UAM-UC3M-UCM, Spain) - carlos.escudero@uam.es
• Alberto Ferrero (University of Eastern Piedmont "Amedeo Avogadro", Italy)

Below you can download the schedule and the abstracts of all talks of this special session.

• Veronica Felli (University of Milan - Bicocca, Italy)

          Unique continuation properties and essential self-adjointness for relativistic Schrödinger operators with singular potentials

• Pier Domenico Lamberti (University of Padua, Italy)

           A few spectral perturbation problems for elliptic operators on variable domains

• Gunnar Pruessner (Imperial College London, United Kingdom)

           A field theory for the Wiener Sausage

• Aníbal Rodríguez-Bernal (Complutense University of Madrid, Spain)

           Bounded and unbounded solutions of degenerate logistic equations

• Diana Stan (Autonomous University of Madrid, Spain)

           Porous medium equations with fractional pressure

• José Ignacio Tello (Technical University of Madrid, Spain)

          Mathematical models of chemotaxis of two species

• Peicheng Zhu (University of the Basque Country and Ikerbasque, Spain)

           Solutions to a model for interface motion by interface diffusion