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Results tagged with fa.functional-analysis
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user 9144
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
2
votes
1
answer
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Proper sobolev spaces invariant under no-linearities
Let $f:H^s\to H^s$ at least continuous and not necesarily linear. Is there some kind of criterion or condition over $f$ that lets to ensure that $f({H^{s+k}})\subseteq H^{s+k}$?
- 151
2
votes
Reference Request: Calculus of Variations in Hilbert Space
The book of Struwe "Variational Methods", in the first chapter, has an abstract configuration in Banach Spaces. The so called variational lemmas. Then he gives some examples applied to partial differe …
- 151