Notes on Partial Differential Equations
Chapter 3. Sobolev spaces 47 3.1. Weak derivatives 47 3.2. Examples 48 3.3. Distributions 51 3.4. Properties of weak derivatives 53 3.5. Sobolev spaces 58 3.6. Approximation of Sobolev functions 59 3.7. Sobolev embedding: p<n 59 3.8. Sobolev embedding: p>n 68 3.9. Boundary values of Sobolev functions 71 3.10. Compactness results 73 n 75 ...
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