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Nonlinear Dirichlet forms. (English) Zbl 0914.31006

Jost, Jürgen et al., New directions in Dirichlet forms. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 8, 1-47 (1998).
The aim of the paper is to give a suitable generalization of Dirichlet forms, in particular to a nonlinear framework adapted to deal with harmonic maps. To have such a type of generalization, the central point is that the target space is no longer \(R\) but a complete metric space. The relations with the associated semigroup and the convergence properties of generalized Dirichlet forms are carefully investigated in the general framework.
For the entire collection see [Zbl 0899.00031].

MSC:

31C25 Dirichlet forms
60J35 Transition functions, generators and resolvents
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