We establish the existence of nonnegative weak solutions to time fractional Keller�Segel system with Dirichlet boundary condition in a bounded domain with smooth boundary. Since the considered system has a cross?diffusion ...
J. R. Wilton obtained an expression for the product of two Riemann zeta functions. This expression played a crucial role to find the approximate functional equation for the product of two Riemann zeta functions in the ...
Closed-form evaluations of certain integrals of J0(?), the Bessel function of the first kind, have been crucial in the studies on the electromagnetic field of alternating current in a circuit with two groundings, as can ...
In this paper, we give a construction of the moduli space of filtered representations of a given quiver of fixed dimension vector with the appropriate notion of stability. The construction of the moduli of filtered ...
In this note, we prove that theF-fundamental group schemeis a birational invariant for smooth projective varieties. We prove that theF-fundamental group scheme is naturally a quotient of the Nori fundamentalgroup scheme. ...
Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath(Cornell University Library, 2020-03)
The Chamberlin-Courant and Monroe rules are fundamental and well-studied rules in the literature of multi-winner elections. The problem of determining if there exists a committee of size k that has a Chamberlin-Courant ...
We establish the existence of nonnegative weak solutions to nonlinear reaction�diffusion system with cross?diffusion and nonstandard growth conditions subject to the homogeneous Neumann boundary conditions. We assume that ...