Results 111 to 120 of about 4,761,041 (315)
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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The Well-Posedness of Solutions for a Generalized Shallow Water Wave Equation
Abstract and Applied Analysis, 2012 A nonlinear partial differential equation containing the famous Camassa-Holm and Degasperis-Procesi equations as special cases is investigated. The Kato theorem for abstract differential equations is applied to establish the local well-posedness of ...
Shaoyong Lai, Aiyin Wang
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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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Modeling the Conductivity and Diffusion Permeability of a Track-Etched Membrane Taking into Account a Loose Layer. [PDF]
Membranes (Basel), 2022 Nichka VS +5 more
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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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Existence of solutions for quasilinear parabolic equations at resonance
Electronic Journal of Differential Equations, 2013 In this article, we show the existence of nontrivial solutions for a class of quasilinear parabolic differential equations. To obtain the solution in a weighted Sobolev space, we use the Galerkin method, Brouwer's theorem, and a compact Sobolev-type ...
Gao Jia, Xiao-Juan Zhang, Li-Na Huang
doaj