Results 51 to 60 of about 366 (188)
Oppenheim–Schur inequalities for causal products
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish a class of Oppenheim–Schur‐type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend the classical Schur and Oppenheim inequalities associated with the Hadamard product to a causal convolutional setting.
Dominique Guillot +2 more
wiley +1 more source
Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation
Abstract and Applied Analysis, 2014 We study the analytic property of the (generalized) quadratic derivative Ginzburg-Landau equation (1/2⩽α⩽1) in any spatial dimension n⩾1 with rough initial data.
Chunyan Huang
doaj +1 more source
Analysis on nonlinear differential equation with a deviating argument via Faedo–Galerkin method
Results in Applied MathematicsThis article focuses on the impulsive fractional differential equation (FDE) of Sobolev type with a nonlocal condition. Existence and uniqueness of the approximations are determined via analytic semigroup and fixed point method.
M. Manjula +3 more
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Analytic semigroup generated by an elliptic operator with discontinuous coefficients
Le Matematiche, 2000 We consider the generation of analytic semigroups by elliptic operators with discontinuous coefficients.
Giuseppe Di Fazio, Pietro Zamboni
doaj
Existence results for a class of semi-linear evolution equations
Electronic Journal of Differential Equations, 2001 We prove the existence of regular solutions for the quasi-linear evolution $$ {d over dt}(x(t)+g(t,x(t))=Ax(t)+f(t,x(t)), $$ where $A$ is the infinitesimal generator of an analytic semigroup of bounded linear operators defined on a Banach space and the ...
Eduardo Hernandez M.
doaj
Results in Control and OptimizationThe impulsive fractional differential equation of the Sobolev type, including deviating arguments, is the subject of the study. The analytic semigroup and fixed point approaches serve the purpose of determining the existence of the approximations.
Kottakkaran Sooppy Nisar +5 more
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Mild solutions for semilinear fractional differential equations
Electronic Journal of Differential Equations, 2009 This paper concerns the existence of mild solutions for fractional semilinear differential equation with non local conditions in the $alpha$-norm.
Gisele M. Mophou, Gaston M. N'Guerekata
doaj
Sinclair Homomorphisms and Semigroups of Analytic Functions
Journal of Functional Analysis, 1997 The author studies homomorphisms from the convolution algebra \(L^1(\mathbb{R}^+)\) into certain Banach algebras of functions on the closed unit disc \(\mathbb{D}\). It is shown that for the algebra \(A^+\) of absolutely convergent Taylor series on \(\mathbb{D}\), every homomorphism \(\Phi\) is of the form \(\Phi(h)= \int^\infty_0 h(t)\nu^t dt ...
openaire +2 more sources