Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Juhana Siljander"'
Autor:
Ugo Gianazza, Juhana Siljander
Publikováno v:
Partial Differential Equations and Applications. 4
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e8cb5036c3d82a80231bb21e7a93b7d
https://doi.org/10.1007/s42985-022-00217-9
https://doi.org/10.1007/s42985-022-00217-9
Publikováno v:
Archive for Rational Mechanics and Analysis. 230:493-538
We study the boundary regularity of solutions to the porous medium equation $u_t = \Delta u^m$ in the degenerate range $m>1$. In particular, we show that in cylinders the Dirichlet problem with positive continuous boundary data on the parabolic bound
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a274b92523bc4a23562fd594e057a0f
https://doi.org/10.1007/s00205-018-1251-3
https://doi.org/10.1007/s00205-018-1251-3
Publikováno v:
Mathematische Annalen. 366:941-979
We prove optimal estimates for the decay in time of solutions to a rather general class of non-local in time subdiffusion equations in $$\mathbb {R}^d$$ . An important special case is the time-fractional diffusion equation, which has seen much intere
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe03679e76eaaff59ebcb9e8c2b32010
https://doi.org/10.1007/s00208-015-1356-z
https://doi.org/10.1007/s00208-015-1356-z
We settle the open question concerning the Harnack inequality for globally positive solutions to non-local in time diffusion equations by constructing a counter-example for dimensions $d\ge\beta$, where $\beta\in(0,2]$ is the order of the equation wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::494537639f0cc3e7a110bc857c89ae2e
http://arxiv.org/abs/1806.04603
http://arxiv.org/abs/1806.04603
Autor:
Juhana Siljander, José Miguel Urbano
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We study whether some of the non-physical properties observed for weak solutions of the incompressible Euler equations can be ruled out by studying the vorticity formulation. Our main contribution is in developing an interior regularity method in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81b1defcb03495ddc20d156c9a5df02c
https://doi.org/10.1007/s00526-017-1231-8
https://doi.org/10.1007/s00526-017-1231-8
Autor:
Mathias Masson, Juhana Siljander
Publikováno v:
Manuscripta Mathematica. 142:187-214
We give a proof for the Holder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p)-Poincare inequality and to satisfy the annular decay property.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdff862798461ed9dcfeac20929109b3
https://doi.org/10.1007/s00229-012-0598-2
https://doi.org/10.1007/s00229-012-0598-2
Publikováno v:
INDIANA UNIVERSITY MATHEMATICS JOURNAL. 61(1):399-430
We give a proof of the Holder continuity of weak solutions of certain degenerate doubly nonlinear parabolic equations in measure spaces. We only assume the measure to be a doubling non-trivial Borel measure which supports a Poincare inequality. The p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb88a2db34685aeeba96ed428a2c4918
http://juuli.fi/Record/0337423712
http://juuli.fi/Record/0337423712
Publikováno v:
Calculus of Variations and Partial Differential Equations. 45:193-229
We complete the study of the regularity for Trudinger’s equation by proving that weak solutions are Holder continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincare
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a65fcd9408a682c99b553ba23bfdbe4
https://doi.org/10.1007/s00526-011-0456-1
https://doi.org/10.1007/s00526-011-0456-1
Autor:
Juhana Siljander
Publikováno v:
Journal of Mathematical Analysis and Applications. 371:158-167
We prove the local boundedness of the gradient for positive solutions to a doubly nonlinear parabolic equation in the case when the standard Lebesgue measure has been replaced by a doubling measure which supports a weak Poincaré inequality.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a8fbffc68cb89bad290fe0b57413944
https://doi.org/10.1016/j.jmaa.2010.05.008
https://doi.org/10.1016/j.jmaa.2010.05.008
We study the Cauchy problem for a nonlocal heat equation, which is of fractional order both in space and time. We prove four main theorems: (i) a representation formula for classical solutions, (ii) a quantitative decay rate at which the solution ten
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::deacb9e18f0da98e713a938da1853974