美国数学学会期刊
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作者:Ahmad Issa
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.4047-4057AMS
摘要:In this paper, we complete the classification of quasi-alternating Montesinos links. We show that the quasi-alternating Montesinos links are precisely those identified independently by Qazaqzeh-Chbili-Qublan and Champanerkar-Ording. A consequence of our proof is that a Montesinos...
作者:Vincenzo Ambrosio
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.3767-3775AMS
摘要:We present an elementary proof of the existence of a nontrivial weak periodic solution for a nonlinear fractional problem driven by a relativistic Schrödinger operator with periodic boundary conditions and involving a periodic continuous subcritical nonlinearity satisfying a...
作者:C. E. Kenig , F. Linares , G. Ponce ...
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.3759-3766AMS
摘要:This work is concerned with special regularity properties of solutions to the $ k$-generalized Korteweg-de Vries equation. In [Comm. Partial Differential Equations 40 (2015), 1336-1364] it was established that if the initial datum is $ u_0\in H^l((b,\infty ))$ for some $ l\in \ma...
作者:Amine Marrakchi
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.3887-3893AMS
摘要:We show that an ergodic measure preserving action $ \Gamma \curvearrowright (X,\mu )$ of a discrete group $ \Gamma $ on a $ \sigma $-finite measure space $ (X,\mu )$ satisfies the local spectral gap property introduced in Invent. Math. 208 (2017), 715-802, if and only if it is st...
作者:Boris Kalinin , Victoria Sadovskaya
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.3801-3812AMS
摘要:We consider group-valued cocycles over dynamical systems with hyperbolic behavior. The base system is either a hyperbolic diffeomorphism or a mixing subshift of finite type. The cocycle $ \EuScript {A}$ takes values in the group of invertible bounded linear operators on a Ba...
作者:Alma Armijo , Maria José Pacifico
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.3895-3906AMS
摘要:In this paper we investigate the relation between measure-expansiveness and hyperbolicity. We prove that non-atomic invariant ergodic measures with all of their Lyapunov exponents positive are positively measure-expansive. We also prove that local diffeomorphisms robustly positiv...
作者:Zhaoquan Xu , Dongmei Xiao
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.3875-3886AMS
摘要:A diffusive integro-differential equation which serves as a model for the evolution of a host-vector epidemic was extensively studied in literature. The traveling wave solutions of this model describe the spread of the disease from a disease-free state to an infective state, whic...
作者:Antonia M. Delgado , Lidia FernÁndez , Teresa E. Pérez
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.3961-3974AMS
摘要:We construct bivariate polynomials orthogonal with respect to a Krall-type inner product on the triangle defined by adding Krall terms over the border and the vertexes to the classical inner product. We prove that these Krall-type orthogonal polynomials satisfy fourth order parti...
作者:Antti Rasila , Jarno Talponen , Xiaohui Zhang
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.3863-3873AMS
摘要:In this paper, we continue our study of the quasihyperbolic metric over Banach spaces. The main results of the paper present a criterion for smoothness of geodesics of quasihyperbolic type metrics in Banach spaces, under a Dini type condition on the weight function, which im...
作者:Paolo Aceto , Marco Golla , Ana G. Lecuona
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2018, Vol.146 (9), pp.4059-4072AMS
摘要:Given a rational homology sphere which bounds rational homology balls, we investigate the complexity of these balls as measured by the number of 1-handles in a handle decomposition. We use Casson-Gordon invariants to obtain lower bounds which also lead to lower bounds on the fusi...

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