
ISSN:
1534-0392
eISSN:
1553-5258
All Issues
Communications on Pure and Applied Analysis
June 2021 , Volume 20 , Issue 6
Select all articles
Export/Reference:
In this paper, we investigate the compactness theory of the complex Green operator on smooth, embedded, orientable CR manifolds of hypersurface type that satisfy the weak
We also provide several non-pseudoconvex examples (and a level
This article introduces a new and general construction of discrete Hodge operator in the context of Discrete Exterior Calculus (DEC). This discrete Hodge operator permits to circumvent the well-centeredness limitation on the mesh with the popular diagonal Hodge. It allows a dual mesh based on any interior point, such as the incenter or the barycenter. It opens the way towards mesh-optimized discrete Hodge operators. In the particular case of a well-centered triangulation, it reduces to the diagonal Hodge if the dual mesh is circumcentric. Based on an analytical development, this discrete Hodge does not make use of Whitney forms, and is exact on piecewise constant forms, whichever interior point is chosen for the construction of the dual mesh. Numerical tests oriented to the resolution of fluid mechanics problems and thermal transfer are carried out. Convergence on various types of mesh is investigated. Flat and non-flat domains are considered.
We obtain explicit characterization of orbital and spectral stability of solitary wave solutions to the
This paper deals with the following quasilinear two-species chemotaxis system
under homogeneous Neumann boundary conditions in a bounded domain
This work concerns with the following Choquard equation
where
In this paper we are concerned with the asymptotic behavior of nonautonomous fractional approximations of oscillon equation
subject to Dirichlet boundary condition on
In this manuscript, we study the theory of conformal relativistic viscous hydrodynamics introduced in [
In this paper, we investigate the existence and asymptotic behavior of least energy sign-changing solutions for the following Schrödinger-Poisson system
where
Let
has exactly one nonnegative minimizer
The image in
In this paper, an optimal control problem for a concrete dam system is considered. First, a mathematical model on the optimal osmotic control for basis of concrete dams is built up, and an optimal line-wise control of the system governed by the hybrid problem for elliptic partial differential equations is investigated. Then, the regularity of the generalized solution to the adjoint state equations, and the existence and uniqueness of the
In this paper, we are concerned with the equations that are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix on compact K
When hard inclusions are frequently spaced very closely, the electric field, which is the gradient of the solution to the perfect conductivity equation, may be arbitrarily large as the distance between two inclusions goes to zero. In this paper, our objectives are two-fold: first, we extend the asymptotic expansions of [
By Malliavin calculus for Wiener-Poisson functionals and Lions derivative for probability measures, existence and smoothness of density functions for distribution dependent SDEs with Lévy noises are derived.
2021
Impact Factor: 1.273
5 Year Impact Factor: 1.282
2021 CiteScore: 2.2
Readers
Authors
Editors
Referees
Librarians
Special Issues
Email Alert
Add your name and e-mail address to receive news of forthcoming issues of this journal:
[Back to Top]