Results 31 to 40 of about 11,941,652 (143)
Remarks on surjectivity of gradient operators [PDF]
, 2020 Let X be a real Banach space with dual X* and suppose that F: X → X*. We give a characterisation of the property that F is locally proper and establish its stability under compact perturbation.
Edmunds, D. E. +3 more
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
On the surjectivity of certain maps
, 2018 We prove in this article the surjectivity of three maps. We prove in Theorem 1.6 the surjectivity of the Chinese remainder reduction map associated to the projective space of an ideal with a given factorization into ideals whose radicals are pairwise ...
Anil Kumar, C. P.
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Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs
Journal of Graph Theory, Volume 113, Issue 3, Page 411-427, November 2026.ABSTRACT A (2‐dimensional) realisation of a graph G is a pair ( G , p ), where p maps the vertices of G to R 2. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise. We say that G is rigid if every generic realisation of G is rigid; otherwise, G is flexible. In this paper, we investigate
Katie Clinch +5 more
wiley +1 more source
Surjectivity of partial differential operators with good fundamental solutions [PDF]
, 2011 We characterize the surjectivity of a linear partial differential operator with constant coefficients on E(Ω) as well as on D′(Ω) in terms of the existence of “good” shifted fundamental solutions.
Jochen Wengenroth, Wengenroth, Jochen
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A Common External Framework for Kleene and McCarthy Algebras
Mathematical Logic Quarterly, Volume 72, Issue 4, November 2026.ABSTRACT Algebras of disjoint alternatives (ADAs), introduced by Manes, are extensions of McCarthy algebras by a unary operator acting as an oracle for the halting problem, and provide a semantics for the equational theory of the if–then–else construct.
Gandolfo Vergottini +2 more
wiley +1 more source
Canonical metrics on holomorphic fibre bundles
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract In this article, we completely describe the existence of canonical metrics, known as optimal symplectic connections, on isotrivial Kähler fibrations. In this setting an optimal symplectic connection is induced from a Hermite–Einstein connection on the holomorphic principal bundle of relative automorphisms, and the Hitchin–Kobayashi ...
John Benjamin McCarthy
wiley +1 more source
On the alternating use of unanimity and surjectivity in the Gibbard-Satterthwaite Theorem
, 2007 Surjectivity and unanimity can be equivalently used to state the Gibbard-Satterthwaite Theorem. On the other hand, over restricted domains, replacing surjectivity with unanimity makes a stronger statement. (c) 2007 Elsevier B.V.
Dogan, Emre, Sanver, M. Remzi
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