Analysis and PDEs

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

  Geometric analysis, geometric function and mapping theory; measure theory, convex analysis geometrically motivated PDE's (harmonic, n-harmonic, polyharmonic mappings)

• 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

• dr Katarzyna Mazowiecka

  Geometric analysis (in particular geometrically motivated PDES such as harmonic maps between manifolds), harmonic analysis, nonlinear PDEs, calculus of variations

• dr Michał Miśkiewicz

  Geometric analysis, PDEs

• dr Przemysław Ohrysko

  Harmonic analysis, Banach algebras

• 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