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Strong convergence from weak convergence and tightness

If local compactness makes every subsequential local limit agree with the global weak limit and the mass is uniformly tight, weak convergence upgrades to strong convergence.

Ancestors (9)

  1. Local compactness plus uniform tail control
  2. Rellich-Kondrashov compactness theorem for H01
  3. Sobolev embedding theorem
  4. Sobolev space
  5. Functional analysis
  6. Analysis
  7. Area of mathematics
  8. Mathematics
  9. Home