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pro vyhledávání: '"Jerome Wettstein"'
Publikováno v:
Journal of Functional Analysis, 281 (9)
In this note, we prove a fractional version in 1-D of the Bourgain-Brezis inequality [1]. We show that such an inequality is equivalent to the fact that a holomorphic function f:D→C belongs to the Bergman space A2(D), namely f∈L2(D), if and only
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33dc3bb53ed32fb9eaea286049539c9f
https://hdl.handle.net/20.500.11850/529971
https://hdl.handle.net/20.500.11850/529971
Autor:
Jerome Wettstein
Publikováno v:
Jerome Wettstein
The goal of this paper is to discuss some of the results in [31] and [32] and expand upon the work there by proving a global weak existence result as well as a first bubbling analysis in finite time. In addition, an alternative local existence proof
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12a305c53e193a3d47ea199d3d479ed0
Autor:
Jerome Wettstein
Publikováno v:
Nonlinear Analysis. 214:112592
In this paper, we study the fractional harmonic gradient flow on S 1 taking values in S n − 1 ⊂ R n for every n ≥ 2 , in particular addressing uniqueness and regularity of solutions in the so-called energy class with sufficiently small energy,