Results 101 to 110 of about 85,041 (264)
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
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INTERPOLATION PROPERTIES OF $ \epsilon$-ENTROPY AND DIAMETERS. GEOMETRIC CHARACTERISTICS OF IMBEDDING FOR FUNCTION SPACES OF SOBOLEV-BESOV TYPE [PDF]
, 1975 Hans Tribel'
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On Bergman–Toeplitz operators in periodic planar domains
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
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Representation theorems for nonlinear disjointly additive functionals and operators on Sobolev spaces [PDF]
, 1977 Moshe Marcus, Victor J. Mizel
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Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
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Weakly hyperbolic equations with time degeneracy in Sobolev spaces
Abstract and Applied Analysis, 1997 The theory of nonlinear weakly hyperbolic equations was developed during the last decade in an astonishing way. Today we have a good overview about assumptions which guarantee local well posedness in spaces of smooth functions (C∞, Gevrey).
Michael Reissig
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Sobolev and Hardy-Sobolev spaces on graphs
, 2012 Let $ $ be a graph. Under suitable geometric assumptions on $ $, we give several equivalent characterizations of Sobolev and Hardy-Sobolev spaces on $ $, in terms of maximal functionals, Haj asz type functionals or atomic decompositions. As an application, we study the boundedness of Riesz transforms on Hardy spaces on $ $.
Russ, Emmanuel, Turkawi, Maamoun
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary +2 more
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Weighted sobolev spaces and the nonlinear dirichlet problem in unbounded domains [PDF]
, 1979 Vieri Benci, Donato Fortunato
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