Results 151 to 160 of about 5,040,927 (317)
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
wiley +1 more source
On the isoperimetric Riemannian Penrose inequality
Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 1042-1085, May 2025.Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti +2 more
wiley +1 more source
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
Journal of Time Series Analysis, Volume 46, Issue 3, Page 582-595, May 2025.Estimating parameters of functional ARMA, GARCH and invertible processes requires estimating lagged covariance and cross‐covariance operators of Cartesian product Hilbert space‐valued processes. Asymptotic results have been derived in recent years, either less generally or under a strict condition.
Sebastian Kühnert
wiley +1 more source
Sharp affine weighted L 2 Sobolev inequalities on the upper half space
Advanced Nonlinear StudiesWe establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj +1 more source
On a compact trace embedding theorem in Musielak-Sobolev spaces [PDF]
arXiv, 2019 By a stronger compact boundary embedding theorem in Musielak-Orlicz-Sobolev space developed in the paper, variational method is employed to deal with the nonlinear elliptic equation with the nonlinear Neumann boundary condition in the framework of Musielak-Orlicz-Sobolev space.
arxiv
Existence theorems for Lagrange problems in Sobolev spaces [PDF]
, 1970 Lamberto Cesari
openalex +1 more source
New Phytologist, Volume 246, Issue 3, Page 1256-1275, May 2025.Summary Arbuscular mycorrhiza (AM) improves mineral nutrient supply, stress tolerance, and growth of host plants through re‐programing of plant physiology. We investigated the effect of AM on the root secondary metabolome of the model legume Lotus japonicus using untargeted metabolomics. Acetonitrile extracts of AM and control roots were analysed using
Josef L. Ranner +9 more
wiley +1 more source
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
doaj +1 more source
Morrey-Sobolev Spaces on Metric Measure Spaces [PDF]
arXiv, 2013 In this article, the authors introduce the Newton-Morrey-Sobolev space on a metric measure space $(\mathscr{X},d,\mu)$. The embedding of the Newton-Morrey-Sobolev space into the H\"older space is obtained if $\mathscr{X}$ supports a weak Poincar\'e inequality and the measure $\mu$ is doubling and satisfies a lower bounded condition.
arxiv