Results 161 to 170 of about 4,761,041 (315)
On a class of fractional differential equations in a Sobolev space
, 2012 G. Mophou, G. N’Guérékata
semanticscholar +1 more source
Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Mathematika, Volume 71, Issue 4, October 2025.Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley +1 more source
Construction of blow‐up solutions for Liouville systems
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We study the following Liouville system defined on a flat torus −Δui=∑j=1naijρjhjeuj∫Ωhjeuj−1,uj∈Hper1(Ω)fori∈I={1,…,n},$$\begin{equation*} {\left\lbrace \def\eqcellsep{&}\begin{array}{lr}-\Delta u_i=\sum _{j=1}^n a_{ij}\rho _j{\left(\frac{h_j e^{u_j}}{\int _\Omega h_j e^{u_j}}-1\right)},\\[3pt] u_j\in H_{per}^1(\Omega)\mbox{ for }i\in I ...
Zetao Cheng, Haoyu Li, Lei Zhang
wiley +1 more source
Tangential-exceptional sets for Hardy-Sobolev spaces [PDF]
, 1995 Carme Cascante, Joaquı́n M. Ortega
openalex +1 more source
The Existence of Moving Spike Patterns in an Attractive Chemotaxis Model
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13505-13516, 30 September 2025.ABSTRACT We prove rigorously the existence of moving spike patterns in an attractive chemotaxis model with small diffusion coefficient for the chemical. In the zero diffusion limit, ϵ→0$$ \epsilon \to 0 $$, we prove that the non‐monotone traveling wave solutions of the system with ϵ>0$$ \epsilon >0 $$ converge to those of the system with ϵ=0$$ \epsilon
Tong Li, Casey Stone
wiley +1 more source
Geophysical Research Letters, Volume 52, Issue 18, 28 September 2025.Abstract The genesis of high‐Nb basalts (HNB) in subduction zones remains controversial, attributed to melting products of metasomatized mantle linked to recent or ancient subduction events. Here we present radiogenic isotope and molybdenum compositions for post‐subduction HNBs and adakites from Baja California, Mexico. The HNBs show more radiogenic Sr‐
Hai‐Quan Liu +7 more
wiley +1 more source
Interpolation between Sobolev Spaces in Lipschitz Domains with an Application to Multigrid Theory [PDF]
, 1995 James H. Bramble
openalex +1 more source
Existence of solutions to Burgers equations in domains that can be transformed into rectangles
Electronic Journal of Differential Equations, 2016 This work is concerned with Burgers equation $\partial _{t}u+u\partial_x u-\partial _x^2u=f$ (with Dirichlet boundary conditions) in the non rectangular domain $\Omega =\{(t,x)\in R^2 ...
Yassine Benia, Boubaker-Khaled Sadallah
doaj
Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications [PDF]
, 2000 Jiagang Ren, Michael Röckner
openalex +1 more source