Zhihong Chen, Dongsheng Li. Source: Advances in Differential Equations, Volume 26, Number 1/2, 83--106.Abstract: In this paper, we consider a system related to Maxwell's equations, which has different structure with general elliptic systems. The existence of the weak solution is obtained in...

Yanan Li, Zhijian Yang. Source: Advances in Differential Equations, Volume 26, Number 1/2, 45--82.Abstract: The paper investigates the existence of strong global and exponential attractors and their continuity for a class of semilinear wave equations with fractional damping in $\Omega\subset...

Xiaoming Wang, Hao Wu. Source: Advances in Differential Equations, Volume 26, Number 1/2, 1--44.Abstract: We study the Navier-Stokes-Darcy-Boussinesq system that models the thermal convection of a fluid overlying a saturated porous medium in a general decomposed domain. In both two and three...

Luis Pedro Montejano, Luis Núñez-Betancourt. Source: Journal of Commutative Algebra, Volume 12, Number 4, 539--557.Abstract: The [math] -vector [math] of a graph [math] is defined in terms of its clique vector [math] by the equation [math] where [math] is the largest cardinality of a clique in...

Dario Spirito. Source: Journal of Commutative Algebra, Volume 12, Number 4, 581--602.Abstract: We study the sets of semistar and star operations on a semilocal Prüfer domain, with an emphasis on which properties of the domain are enough to determine them. In particular, we show that these sets...

David E Speyer. Source: Journal of Commutative Algebra, Volume 12, Number 4, 573--579.Abstract: Let [math] and [math] be schemes of finite type over [math] and let [math] be a finite map. We show the following holds for all sufficiently large primes [math] : If [math] and [math] are any splittings...

Susanne Müller. Source: Journal of Commutative Algebra, Volume 12, Number 4, 559--572.Abstract: The aim of this paper is to give a connection between the [math] -pure threshold of a polynomial and the height of the corresponding Artin–Mazur formal group. For this, we consider a quasihomogeneous...

Evan Houston, Muhammad Zafrullah. Source: Journal of Commutative Algebra, Volume 12, Number 4, 489--507.Abstract: For a finite-type star operation [math] on a domain [math] , we say that [math] is [math] -super potent if each maximal [math] -ideal of [math] contains a finitely generated ideal...

Giuseppe Favacchio. Source: Journal of Commutative Algebra, Volume 12, Number 4, 479--487.Abstract: We classify the Hilbert functions of bigraded algebras in [math] by introducing a numerical function called a Ferrers function. ...

Petter A. Bergh, David A. Jorgensen, W. Frank Moore. Source: Journal of Commutative Algebra, Volume 12, Number 4, 467--477.Abstract: Let [math] be a commutative local Noetherian ring, [math] a [math] -regular sequence in [math] , and [math] . Given a complex of finitely generated free [math]...