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PD Dr. Martin Väth


Freie Universität Berlin

Fachbereich Mathematik und Informatik (WE1)
Arnimallee 3, D-14195 Berlin, Germany
Tel.:+49 - (0)30 / 838-75-436


Institute of Mathematics of the
Czech Academy of Sciences
Žitná 25, 115 67 Nové Město, Praha 1
Czech Republic

Picture of Martin Vath

Main Field of Research Interest

Linear and Nonlinear Analysis

including (but not restricted to)

  • topological and geometric methods (e.g. degree and Nielsen theory, Morse index, multivalued maps)
  • partial and ordinary differential equations, particularly reaction-diffusion systems
  • nonsmooth problems (obstacle problems, variational inequalities, differential inclusions, …)
  • linear and nonlinear spectral theory
  • particular operators (Urysohn, Hammerstein, superposition operators)
  • nonlinear dynamical systems and bifurcation theory
  • integral equations (also of vector functions)
  • Volterra and functional differential equations
  • function spaces; in particular, spaces of measurable functions
  • positive operators and lattices
  • Weyl calculus and noncommutative harmonic analysis
  • connections with logic and set theory (axiom of choice, continuum hypothesis)
  • nonstandard analysis
  • measure and integration theory (also finitely additive measures)
  • geometry of normed spaces