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A bounded sequence can fail to have a strongly convergent subsequence because its mass escapes to infinity even when its local regularity is uniformly controlled.

Ancestors (8)

  1. Noncompactness of a Sobolev embedding by translation
  2. Sobolev embedding theorem
  3. Sobolev space
  4. Functional analysis
  5. Analysis
  6. Area of mathematics
  7. Mathematics
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