1 citations · 1 across the 4 of their papers we have counts for
5 papers
The fundamental solution of a nonlinear kinetic Fokker-Planck equation
Giovanni Brigati, Guillaume Carlier, Jean Dolbeault
This paper is devoted to a fundamental solution of a nonlinear kinetic equation involving a porous medium or fast diffusion operator acting on velocities. Such a nonlinearity has i…
Introduction to quantitative De Giorgi methods
Giovanni Brigati, Clément Mouhot
The theory of De Giorgi (1958) and Nash (1959) solves Hilbert's 19th problem and constitutes a major advance in the analysis of PDEs in the 20th century. This theory concerns the H…
Non-linear Dirichlet Functionals: Markovianity, Locality, Invariance
Giovanni Brigati, Lorenzo Dello Schiavo
We present in a unified setting the foundations for a theory of non-linear Dirichlet functionals on Hilbert spaces. We prove known and new equivalences between non-linear semigroup…
Nonlinear Dirichlet forms, energy spaces, and calculus rules
Giovanni Brigati
We review recent contributions on nonlinear Dirichlet forms. Then, we specialise to the case of 2-homogeneous and local forms. Inspired by the theory of Finsler manifolds and metri…
The normal contraction property for non-bilinear Dirichlet forms
Giovanni Brigati, Ivailo Hartarsky
We analyse the class of convex functionals over for a measure space introduced by Cipriani and Grillo and generalising the classic bilinear…