Results 41 to 50 of about 154 (124)
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
Generators with interior degeneracy on spaces of L^2 type
Electronic Journal of Differential Equations, 2012 We consider operators in divergence and in nondivergence form with degeneracy at the interior of the space domain. Characterizing the domain of the operators, we prove that they generate positive analytic semigroups on spaces of L^2 type.
Genni Fragnelli +3 more
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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
Existence and uniqueness of strong solutions for nonlocal evolution equations
Electronic Journal of Differential Equations, 2014 The aim of this article is to study the existence and uniqueness of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions. The discussions are based on analytic semigroup theory and fixed point theorems.
Pengyu Chen, Yongxiang Li
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Functional calculus for generators of analytic semigroups of operators
Karpatsʹkì Matematičnì Publìkacìï, 2012 We construct a functional calculus for generators of one-parameter boundedanalytic semigroups of operators on a Banach space. The calculus symbol classconsist of the Laplace image of the convolution algebra $cal S'_+$ of tempereddistributions with ...
Lopushansky O.V., Sharyn S.V.
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Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2023 Vernooij M, Wirth M.
europepmc +1 more source
Existence of Mild Solutions to Delay Diffusion Equations with Hilfer Fractional Derivative
Fractal and FractionalBecause of the prevalent time-delay characteristics in real-world phenomena, this paper investigates the existence of mild solutions for diffusion equations with time delays and the Hilfer fractional derivative.
Yuhang Jin +3 more
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THE REVIEW OF ALMOST PERIODIC SOLUTIONS TO A STOCHASTIC DIERENTIAL EQUATION [PDF]
International Journal of Mathematical Modelling & Computations, 2016 This paper proves the existence and uniqueness of quadratic mean almost periodic mild so-lutions for a class of stochastic dierential equations in a real separable Hilbert space. Themain technique is based upon an appropriate composition theorem combined
Siavosh Ahmadi
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Resolvent estimates for elliptic systems in function spaces of higher regularity
Electronic Journal of Differential Equations, 2011 We consider parameter-elliptic boundary value problems and uniform a priori estimates in $L^p$-Sobolev spaces of Bessel potential and Besov type. The problems considered are systems of uniform order and mixed-order systems (Douglis-Nirenberg systems).
Robert Denk, Michael Dreher
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MathematicsThis paper investigates the long-term asymptotic behavior of solutions to the initial-boundary value problem for the three-dimensional incompressible viscous magnetohydrodynamic (MHD) equations in general unbounded domains. Addressing the difficulty that
Xuelin Chen, Mingjie Zhang
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