Results 41 to 50 of about 139,538 (244)
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
Journal of Inequalities and Applications, 2018 Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition.
Zengyan Si, Qingying Xue
doaj +1 more source
An obstacle problem for Tug-of-War games [PDF]
, 2013 We consider the obstacle problem for the infinity Laplace equation. Given a Lipschitz boundary function and a Lipschitz obstacle we prove the existence and uniqueness of a super infinity-harmonic function constrained to lie above the obstacle which is ...
J. Somersille +3 more
core
Meromorphic Lipschitz functions [PDF]
Bulletin of the Australian Mathematical Society, 1988 Let f be a function meromorphic in D = {|z| < 1} and let X be the chordal distance on the Riemann sphere. Then f satisfies the Lipschitz conditionin D if and only if |f′(z)|/(1 + |f(z)|2) = O((1 – |z|)α−1) and |z| → 1.
openaire +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
On Series-Like Iterative Equation with a General Boundary Restriction
Fixed Point Theory and Applications, 2009 By means of Schauder fixed point theorem and Banach contraction principle, we investigate the existence and uniqueness of Lipschitz solutions of the equation 𝒫(f)∘f=F. Moreover, we get that the solution f depends continuously on F.
Wei Song, Guo-qiu Yang, Feng-chun Lei
doaj +2 more sources
Ostrowski-type inequalities in abstract distance spaces
Researches in MathematicsFor non-empty sets X we define notions of distance and pseudo metric with values in a partially ordered set that has a smallest element $\theta $. If $h_X$ is a distance in $X$ (respectively, a pseudo metric in $X$), then the pair $(X,h_X)$ is called a
V.F. Babenko +2 more
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On Lipschitz ball noncollapsing functions and uniform co-Lipschitz mappings of the plane
Abstract and Applied Analysis, 2005 We give a sharp estimate on the cardinality of point preimages of a uniform co-Lipschitz mapping on the plane. We also give a necessary and sufficient condition for a ball noncollapsing Lipschitz function to have a point with infinite preimage.
Olga Maleva
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Abstract and Applied Analysis, 2022 In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla +2 more
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Stancu-Type Generalized q-Bernstein–Kantorovich Operators Involving Bézier Bases
Mathematics, 2022 We construct the Stancu-type generalization of q-Bernstein operators involving the idea of Bézier bases depending on the shape parameter −1≤ζ≤1 and obtain auxiliary lemmas.
Wen-Tao Cheng +2 more
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