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Nonlinear Partial Differential Equations || Compactness Theorems

✍ Scribed by Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen


Book ID
120191789
Publisher
Birkhäuser Boston
Year
2010
Weight
141 KB
Category
Article
ISBN
0817646515

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📜 SIMILAR VOLUMES


Nonlinear Partial Differential Equations
✍ Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen 📂 Article 📅 2010 🏛 Birkhäuser Boston ⚖ 141 KB

In this section we prove the Ascoli-Arzelà-type compactness theorem introduced in §1.3.2. The theorem is fundamental since a variety of compactness results on various function spaces follows. Here we give a detailed proof, since the case that the domain of definition of functions is not compact is u

Compactness theorems for differential fo
✍ S. Kichenassamy 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 290 KB

We prove compactness properties of various sets of differential forms with bounds on their exterior derivatives. This gives simple proofs of the Federer-Fleming result on normal currents and of "compensated compactness" lemmas.