Results 71 to 80 of about 18,838 (234)
Electronic Journal of Qualitative Theory of Differential Equations, 2010 Using a fixed point theorem in ordered Banach spaces with lattice structure founded by Liu and Sun, this paper investigates the multiplicity of nontrivial solutions for fourth order $m$-point boundary value problems with sign-changing nonlinearity.
Haitao Li, Yansheng Liu
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Regularizations of forward‐backward parabolic PDEs
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract Forward‐backward parabolic equations have been studied since the 1980s, but a mathematically rigorous picture is still far from being established. As quite a number of new papers have appeared recently, we review in this work the current state of the art.
Carina Geldhauser
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Substitutions and their Generalisations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Tilings and point sets arising from substitutions are classical mathematical models of quasicrystals. Their hierarchical structure allows one to obtain concrete answers regarding spectral questions tied to the underlying measures and potentials.
Neil Mañibo
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Journal of the European Mathematical SocietyWe investigate the structure of the free p -convex Banach lattice {\mathrm{FBL}}^{(p)}[E] over a Banach space E .
Timur Oikhberg +3 more
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Mathematische Nachrichten, Volume 297, Issue 10, Page 3870-3886, October 2024.Abstract The Gross–Pitaevskii (GP) equation is a model for the description of the dynamics of Bose–Einstein condensates. Here, we consider the GP equation in a two‐dimensional setting with an external periodic potential in the x$x$‐direction and a harmonic oscillator potential in the y$y$‐direction in the so‐called tight‐binding limit.
Steffen Gilg, Guido Schneider
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Carleman operators on Banach lattices [PDF]
Mathematische Zeitschrift, 1988 An abstract Carleman operator between Banach lattices is characterized in terms of convergence properties with respect to appropriate representation spaces. This extends classical results for Carleman operators on \(L^ 2\)-spaces. In special cases, integral descriptions are provided.
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Classification conjectures for Leavitt path algebras
Bulletin of the London Mathematical Society, Volume 56, Issue 10, Page 3011-3060, October 2024.Abstract The theory of Leavitt path algebras is intrinsically related, via graphs, to the theory of symbolic dynamics and C∗$C^*$‐algebras where the major classification programs have been a domain of intense research in the last 50 years. In this article, we gather together current lines of research in the classification of Leavitt path algebras ...
Guillermo Cortiñas, Roozbeh Hazrat
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An absolute continuity for positive operators on Banach lattices
International Journal of Mathematics and Mathematical Sciences, 1991 For positive operators on a Banach lattice, absolute contnuity conditions are considered. An operator absolutely continuous with respect to T is compared to sums of compositions of T together with orthomorphisms or in special cases projections ...
W. Feldman +2 more
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The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2374-2394, July 2024.Abstract The classical Liouville property says that all bounded harmonic functions in Rn$\mathbb {R}^n$, that is, all bounded functions satisfying Δf=0$\Delta f = 0$, are constant. In this paper, we obtain necessary and sufficient conditions on the symbol of a Fourier multiplier operator m(D)$m(D)$, such that the solutions f$f$ to m(D)f=0$m(D)f=0$ are ...
David Berger +2 more
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Convergence of Submartingales in Banach Lattices
The Annals of Probability, 1976 We discuss analogues of Doob's convergence theorem for submartingales with values in Banach lattices with the Radon-Nikodym property.
Szulga, Jerzy, Woyczynski, Wojbor A.
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