Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Benny Avelin"'
Autor:
Benny Avelin, Robin Strand, Joel Kullberg, Taro Langner, Fredrik K. Gustafsson, Håkan Ahlström
Along with rich health-related metadata, medical images have been acquired for over 40,000 male and female UK Biobank participants, aged 44–82, since 2014. Phenotypes derived from these images, such as measurements of body composition from MRI, can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::960a4fdb9e1151bc6ce26eb3a7a68d6b
http://arxiv.org/abs/2101.06963
http://arxiv.org/abs/2101.06963
Publikováno v:
Archive for Rational Mechanics and Analysis. 227:663-714
We prove a maximal differentiability and regularity result for solutions to nonlinear measure data problems. Specifically, we deal with the limiting case of the classical theory of Calderon and Zygmund in the setting of nonlinear, possibly degenerate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cdbeb19ae52fea5f89470f7b0eb82253
https://doi.org/10.1007/s00205-017-1171-7
https://doi.org/10.1007/s00205-017-1171-7
Autor:
Benny Avelin, Teemu Lukkari
Publikováno v:
Revista Matemática Iberoamericana. 33:573-594
We prove a comparison principle for the porous medium equation in more general open sets in $\mathbb{R}^{n+1}$ than space-time cylinders. We apply this result in two related contexts: we establish a connection between a potential theoretic notion of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa3daf5ebb373010f5161acc96b1dbce
https://doi.org/10.4171/rmi/950
https://doi.org/10.4171/rmi/950
Autor:
Benny Avelin, Kaj Nyström
In this paper, we prove that, in the deep limit, the stochastic gradient descent on a ResNet type deep neural network, where each layer shares the same weight matrix, converges to the stochastic gradient descent for a Neural ODE and that the correspo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13bd11904be9b561fd80be85c42eaa8d
http://arxiv.org/abs/1906.12183
http://arxiv.org/abs/1906.12183
Publikováno v:
Complex Variables and Elliptic Equations. 61(1):23-28
We extend a result by Fornaaess and Wiegerinck [Ark. Mat. 1989;27:257-272] on plurisubharmonic Mergelyan type approximation to domains with boundaries locally given by graphs of continuous functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a789c873bff821fa858365819b8ee561
http://juuli.fi/Record/0278822216
http://juuli.fi/Record/0278822216
Publikováno v:
Potential Analysis. 43:531-545
We show that bounded pseudoconvex domains that are Holder continuous for all alpha < 1 are hyperconvex, extending the well-known result by Demailly (Math. Z. 194(4) 519-564, 1987) beyond Lipschi ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28d25521f43fd7467ec770c7abc32339
https://doi.org/10.1007/s11118-015-9486-1
https://doi.org/10.1007/s11118-015-9486-1
Autor:
Benny Avelin
Publikováno v:
Mathematische Annalen. 364:667-686
In this paper we propose a definition of “parabolic NTA” for solutions to the degenerate \(p\)-parabolic equation. Given this definition we prove the Carleson estimate, originally proved for this equation in Avelin et al. (J Eur Math Soc, 2015) f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a013719bc4d2169edc91bdda5ea88406
https://doi.org/10.1007/s00208-015-1226-8
https://doi.org/10.1007/s00208-015-1226-8
Publikováno v:
Discrete and Continuous Dynamical Systems. 35:5665-5688
We establish a variational parabolic capacity in a context of degenerate parabolic equations of $p$-Laplace type, and show that this capacity is equivalent to the nonlinear parabolic capacity. As an application, we estimate the capacities of several
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::391587ab858c981db50034b5b608a600
https://doi.org/10.3934/dcds.2015.35.5665
https://doi.org/10.3934/dcds.2015.35.5665
Autor:
Benny Avelin
This paper is the second installment in a series of papers concerning the boundary behavior of solutions to the p-parabolic equations. In this paper we are interested in the short time behavior of the solutions, which is in contrast with much of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5aec2c1f4343227e9d1503bf0b698218
http://arxiv.org/abs/1710.06616
http://arxiv.org/abs/1710.06616
Autor:
Vesa Julin, Benny Avelin
This paper concerns the boundary behavior of solutions of certain fully nonlinear equations with a general drift term. We elaborate on the non-homogeneous generalized Harnack inequality proved by the second author in (Julin, ARMA -15), to prove a gen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe0ff2aa3bab05179a4897ad91bba536
http://urn.fi/URN:NBN:fi:jyu-201703011548
http://urn.fi/URN:NBN:fi:jyu-201703011548