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The lack of compactness in the Sobolev–Strichartz inequalities

✍ Scribed by Fanelli, Luca; Visciglia, Nicola


Book ID
123122015
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
189 KB
Volume
99
Category
Article
ISSN
0021-7824

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Analysis of the Lack of Compactness in t
✍ Stéphane Jaffard 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 128 KB

Let (u n ) be a bounded sequence in H s, p (R d ) (0<s<d p). We show that (u n ) has a subsequence (u$ n ) such that each u$ n can be expressed as a finite sum (plus a remainder) of translationsÂdilations of functions , m and such that the remainder has arbitrary small norm in L q (1Âq=(1Âp)&(sÂd )