Compactness method: Difference between revisions
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Latest revision as of 01:37, 15 August 2006
A compactness method refers to any method to construct or control solutions to PDE by exploiting the compactness (or precompactness) of various subsets of a function space in various topologies. Since most sets are not compact in the strong topology, one often has to rely on compactness in fairly weak topologies.