Monotone Approximation of Energy Functionals for Mappings into Metric Spaces - II

Potential Analysis

Volumn 11, Issue 4, 1999, Pages 359-386

  Sturm, K T ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

Alexandrov space; Dirichlet form; Energy form; Harmonic map; Singular space

Indexed keywords

EID: 0042715435     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008664108526     Document Type: Article

References (8)

1. Fukushima, M., Oshima, M. and Takeda, M.: Dirichlet Forms and Symmetric Markov Processes. De Gruyter, Berlin, New York, 1994.
2. Jost, J.: 'Equilibrium maps between metric spaces', Calc. Var. 2 (1994), 173-204.
3. Jost, J.: 'Generalized Dirichlet forms and harmonic maps', Calc. Var. 5 (1997), 1-19.
4. Korevaar, N. J. and Schoen, R. M.: 'Sobolev spaces and harmonic maps for metric space targets', Comm. Anal. Geom. 1 (1993), 561-659.
5. Ma, Z. and Röckner, M.: Introduction to the Theory of (non-symmetric) Dirichlet Forms. Universitext. Springer, Berlin, 1992.
6. Sturm, K. T.: 'Monotone approximation of energy functionals for mappings into metric spaces', I. J. reine angew. Math. 486 (1997), 129-151.
7. Sturm, K. T.: Metric Spaces of Lower Bounded Curvature. To appear in Expo. Math. (1999).
8. Sturm, K. T.: 'Diffusion processes and heat kernels on metric spaces', Ann. Prob. 26 (1998), 1-55.