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math.FA2025
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…
math.FA2023
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…
math.FA2022★ 1 cited
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…