Results 151 to 160 of about 85,041 (264)

Local well-posedness of the periodic nonlinear Schrödinger equation with a quadratic nonlinearity ū2 in negative Sobolev spaces

, 2023
Liu R.
europepmc   +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

Radiogenic and Stable Isotope Evidence for Recycling of Ancient Oceanic Crust in High‐Nb Basalts From Baja California, Mexico

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, Jie Li, Thierry Calmus, Alfredo Aguillón‐Robles, Le Zhang, Long Zhang, Xiao‐Long Huang, Yi‐Gang Xu   +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

Persistence of solutions to nonlinear evolution equations in weighted Sobolev spaces

Electronic Journal of Differential Equations, 2010
In this article, we prove that the initial value problem associated with the Korteweg-de Vries equation is well-posed in weighted Sobolev spaces $mathcal{X}^{s,heta}$, for $s geq 2heta ge 2$ and the initial value problem associated with the nonlinear
Xavier Carvajal Paredes, Pedro Gamboa Romero   +1 more
doaj  

A new approach to weighted Sobolev spaces. [PDF]

Mon Hefte Math
Kebiche D.
europepmc   +1 more source

Relaxation of singular functionals defined on Sobolev spaces [PDF]

, 2000
Hafedh Ben Belgacem
openalex   +1 more source

Fractional Sobolev spaces on Riemannian manifolds. [PDF]

Math Ann
Caselli M, Florit-Simon E, Serra J.
europepmc   +1 more source