Mathematical Analysis and Differential Equations

Description

Various questions in the theory of partial differential equations, with emphasis on existence and regularity problems for nonlinear elliptic and subelliptic equations and systems. Connections to calculus of variations, weak convergence methods and related topics in the theory of function spaces. Complex analysis.

Employees and PhD students

• dr hab. Paweł Goldstein

  Finite and infinite-dimensional gradient flows, singularities of analytic vector fields; elliptic and parabolic nonlinear partial differential equations and systems; calculus of variations on metric measure spaces

• prof. dr hab. Agnieszka Kałamajska

  Sobolev spaces, calculus of variations

• dr hab. Tomasz Kochanek, prof. UW

  Theory of Banach spaces, vector measures, operator algebras

• dr hab. Sławomir Kolasiński

  Geometric measure theory, calculus of variations, PDEs

• dr Katarzyna Mazowiecka

  Geometric analysis, PDEs

• dr Michał Miśkiewicz

  Geometric analysis, PDEs

• prof. dr hab. Katarzyna Pietruska-Pałuba

  Geometric analysis, analysis on fractals

• dr Waldemar Pompe

  Calculus of variations

• prof. dr hab. Paweł Strzelecki

  Geometric analysis, non-linear partial differential equations, calculus of variations

• dr Marta Szumańska

  Geometric measure theory, convex geometry

• dr hab. Anna Zatorska-Goldstein, prof. UW

  Calculus of variations; nonlinear elliptic-type equations and systems, p-harmonic mappings, subelliptic equations and systems, systems with non-standard growth conditions; calculus of variations on metric spaces with a doubling measure