2026-07-28
11:20 |
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37 p, 1.1 MB |
Direct methods for a dual tempered fractional parabolic problem
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Guo, Yuxia (Tsinghua University (Pequin, Xina). Department of Mathematical Science) ;
Hu, Yichen (Dalian University of Technology (Dalian, Índia). School of Mathematical Sciences) ;
Peng, Shaolong (Beihang University (Pequin, Xina). School of Mathematical Sciences)
In this paper, we consider the dual tempered fractional parabolic problema ∂ s t u(x, t) − (∆ + ρ) α 2 u(x, t) = f(t, u(x, t)), Ω × R, where Ω may be Rn or Rn + := {x ∈ Rn | x1 > 0}, s ∈ (0, 1), α ∈ (0, 2), and ρ is a sufficiently small positive constant. [...]
2026 -  10.5565/PUBLMAT7022610
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 549-585 (Articles)
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2026-07-28
11:13 |
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2026-07-28
11:13 |
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2026-07-28
11:13 |
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2026-07-28
11:13 |
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24 p, 1.0 MB |
On the convergence of doubly stochastic Markov chains
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Bouthat, Ludovick (Université Laval. Département de Mathématiques et de Statistique) ;
Doyon, Nicolas (Université Laval. Département de Mathématiques et de Statistique) ;
Mashreghi, Javad (Université Laval. Département de mathématiques et de statistique) ;
Morneau-Guérin, Frédéric (Université TÉLUQ (Québec). Département Éducation)
We characterize the asymptotic behavior of time-homogeneous doubly stochastic Markov chains. Our investigation revolves around understanding the dynamics of products of doubly stochastic matrices, which in turn allows us to fully characterize three distinct behaviors: cyclicity, convergence towards a special equilibrium matrix, and divergence. [...]
2026 - 10.5565/PUBLMAT7022606
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 421-444 (Articles)
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2026-07-28
11:13 |
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24 p, 1.1 MB |
On a mixed boundary value problem on bounded domains of R 3
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Alghanemi, Azeb (King Abdulaziz University (Jeddah, Aràbia Saudí)) ;
Ben Mahmoud, Randa (Sfax University (Sfax, Tunísia). Department of Mathematics) ;
Chtioui, Hichem (Sfax University (Sfax, Tunísia). Department of Mathematics)
We are interested in a nonlinear Laplace equation with critical nonlinearity and mixed Dirichlet{Neumann boundary conditions on bounded domains of R3. Building on the analysis of [1] and on further developments of the theory of critical points at infinity [6], we study the lack of compactness of the associated variational problem and prove general existence theorems.
2026 - 10.5565/PUBLMAT7022605
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 397-420 (Articles)
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2026-07-28
10:12 |
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18 p, 1018.7 KB |
Liftings and invariant subspaces of Hankel operators
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Sneha, B. (Indian Statistical Institute (Bangalore, Índia)) ;
Bala, Neeru ;
Panja, Samir (Indian Statistical Institute (Bangalore, Índia)) ;
Sarka, Jaydeb (Indian Statistical Institute (Bangalore, Índia))
We prove a Hankel-variant commutant lifting theorem. This also uncovers the complete structure of the Beurling-type reducing and invariant subspaces of Hankel operators. Kernel spaces of Hankel operators play a key role in the analysis.
2026 - 10.5565/PUBLMAT7022604
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 379-396 (Articles)
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2026-07-28
10:13 |
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2026-07-28
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2026-07-28
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11 p, 1004.5 KB |
Simple solutions of the Yang-Baxter equation of cardinality p n
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Cedó, Ferran (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Okniński, Jan (University of Warsaw (Polònia). Institute of Mathematics)
For every prime number p and integer n > 1, a simple, involutive, non-degenerate, set-theoretic solution (X, r) of the Yang-Baxter equation of cardinality |X| = p n is constructed. Furthermore, for every positive integer m which is not square-free and is not a square of a prime number, a non-simple, indecomposable, irretractable, involutive, non-degenerate, set-theoretic solution (X, r) of the Yang-Baxter equation of cardinality |X| = m is constructed. [...]
2026 - 10.5565/PUBLMAT7022601
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 303-313 (Articles)
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