Results 51 to 60 of about 476,682 (147)

Existence and regularity for integro‐differential free transmission problem

Bulletin of the London Mathematical Society, EarlyView.
Abstract We study an integro‐differential free transmission problem associated with the Bellman–Isaacs‐type operator that is solution‐dependent. The existence of a viscosity solution is proved by constructing solutions of suitable auxiliary problems for such a nonlocal problem.
Sun‐Sig Byun, Seunghyun Kim
wiley   +1 more source

Mean‐field limit of non‐exchangeable systems

Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.
Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin, David Poyato, Juan Soler   +2 more
wiley   +1 more source

On linearization and uniqueness of preduals

Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.
Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
wiley   +1 more source

Generalized projections on general Banach spaces [PDF]

arXiv, 2022
In general Banach spaces, the metric projection map lacks the powerful properties it enjoys in Hilbert spaces. There are a few generalized projections that have been proposed in order to resolve many of the deficiencies of the metric projection. However, such notions are predominantly studied in Banach spaces with rich topological structures, such as ...
arxiv  

Best simultaneous approximation to totally bounded sequences in Banach spaces [PDF]

, 2008
This paper is concerned with the problem of best weighted simultaneous approximations to totally bounded sequences in Banach spaces. Characterization results from convex sets in Banach spaces are established under the assumption that the Banach space is ...
Li, Chong, Luo, Xian Fa, López Acedo, Genaro   +2 more
core   +1 more source

A nonlinear characterization of stochastic completeness of graphs

Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.
Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
wiley   +1 more source

Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]

, 2017
We construct finitely generated groups with arbitrary prescribed Hilbert space compression α ∈ [0, 1]. This answers a question of E. Guentner and G. Niblo.
Arzhantseva, Goulnara, Druţu, Cornelia, Sapir, Mark   +2 more
core  

Approximating fixed points of nonexpansive type mappings [PDF]

, 2001
In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for nonexpansive type mappings under certain ...
Hemant K. Pathak, Mohammad S. Khan
core   +2 more sources

Substitutions on compact alphabets

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
wiley   +1 more source

Lipschitz decompositions of domains with bilaterally flat boundaries

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study classes of domains in Rd+1,d⩾2$\mathbb {R}^{d+1},\ d \geqslant 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains with controlled total surface area. This study is motivated by the following result proved by Peter Jones as a piece of his proof of the Analyst's ...
Jared Krandel
wiley   +1 more source