The manifold-valued Dirichlet problem for symmetric diffusions

DOI10.1023/A:1026443030345zbMath0970.58022OpenAlexW1534823070MaRDI QIDQ1841543

Jean Picard

Publication date: 18 February 2001

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026443030345

zbMATH Keywords

energy minimizing mapsharmonic mapsDirichlet formsDirichlet processstochastic calculus on manifolds

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Dirichlet forms (31C25) Probabilistic potential theory (60J45) Diffusion processes and stochastic analysis on manifolds (58J65) Harmonic maps, etc. (58E20)

Related Items (5)

Smoothness of harmonic maps for hypoelliptic diffusions. ⋮ Last multipliers for Riemannian geometries, Dirichlet forms and Markov diffusion semigroups ⋮ Convergence of Riemannian manifolds and Laplace operators. II ⋮ A semigroup approach to harmonic maps ⋮ Parabolicity, the divergence theorem for \(\delta\)-subharmonic functions and applications to the Liouville theorems for harmonic maps

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