| back to Research Teams | Stochastic Analysis, Mahematical Physics and Applications Members (Ph. D.) Carvalho, Conceição Students Moreira, João Programa de Estímulo à Investigação 2012 External Collaborators Albuquerque, Carlos Manuel R.
Keywords Stochastic analysis and Applications; Evolution equations; Mathematical Physics; Biomathematics. Objectives - Stochastic solutions of the Poisson-Vlasov and Maxwell-Vlasov equations. - Tomographic techniques for the analysis of reflectometry data. - Existence, uniqueness and regularity of solutions of elliptic and parabolic problems. - Stochastic evolution equations in infinite dimensional spaces: study of the transition semigroup determined by stochastic equations on a Hilbert space; study of stochastic evolution equations on M-type 2 Banach spaces. - Research on mathematics of granular media including problems on the calculus of variations to develop new prior inequalities to control rate of dissipation. - Description of the stochastic dynamics of infinite particle systems in the continuum through corresponding correlation functions and generating functionals. - Development of new tools using combinatorial harmonic analysis.
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