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• W2012304939 abstract "Starting with a regular symmetric Dirichlet form on a locally compact separable metric space X, our paper studies elements of vector analysis, Lp-spaces of vector fields and related Sobolev spaces. These tools are then employed to obtain existence and uniqueness results for some quasilinear elliptic PDE and SPDE in variational form on X by standard methods. For many of our results locality is not assumed, but most interesting applications involve local regular Dirichlet forms on fractal spaces such as nested fractals and Sierpinski carpets." @default.
• W2012304939 created "2016-06-24" @default.
• W2012304939 creator A5010020158 @default.
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• W2012304939 date "2013-12-01" @default.
• W2012304939 modified "2023-10-13" @default.
• W2012304939 title "Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces" @default.
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• W2012304939 doi "https://doi.org/10.1016/j.spa.2013.06.009" @default.
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