Abstract and Applied Analysis

Lp-Theory of Differential Forms and Related Operators with Applications


Publishing date
25 Apr 2014
Status
Published
Submission deadline
06 Dec 2013

Lead Editor

1Department of Mathematics, Seattle University, Seattle, WA 98122, USA

2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

3Department of Epidemiology, Harvard School of Public Health, Harvard University, Boston, MA 02115, USA


Lp-Theory of Differential Forms and Related Operators with Applications

Description

Differential forms are extensions of functions and have become invaluable tools for many fields of sciences and engineering, including theoretical physics, general relativity, potential theory, and electromagnetism. Operators are critical tools to establish existence and regularity for solutions to PDEs and to control oscillatory behavior on a manifold. In many situations, the process to solve a PDE or a system of PDEs involves integration or integral estimate for some operators. Operators are often used to represent solutions of PDEs. In recent years, much progress has been made in the study of differential forms and related operators. This special issue is devoted to publishing the latest and significant results in this field. Its goals are to stimulate further research and to highlight recent advances in the field. Potential topics include, but are not limited to:

  • Integral estimates for differential forms and applications
  • Integral estimates for operators and their compositions
  • Lφ theory of operators and their compositions
  • Lp norm and Orlicz norm estimates for differential forms and related operators
  • Lipschitz and BMO norm estimates for differential forms and related operators
  • A-harmonic equations and Dirac equations
  • Operator equations and potential theory
  • Dirichlet problems and Poison’s equation

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/dfro/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 596704
  • - Review Article

Recent Advances in -Theory of Homotopy Operator on Differential Forms

Shusen Ding | Peilin Shi | Yong Wang
  • Special Issue
  • - Volume 2014
  • - Article ID 748103
  • - Editorial

Theory of Differential Forms and Related Operators with Applications

Shusen Ding | Yong Wang | ... | Yuming Xing
  • Special Issue
  • - Volume 2014
  • - Article ID 818201
  • - Research Article

Poincaré Inequalities for Composition Operators with Norm

Ru Fang
  • Special Issue
  • - Volume 2014
  • - Article ID 902383
  • - Research Article

On the Inverse Eigenvalue Problem for Irreducible Doubly Stochastic Matrices of Small Orders

Quanbing Zhang | Changqing Xu | Shangjun Yang
  • Special Issue
  • - Volume 2014
  • - Article ID 941658
  • - Research Article

Some Weighted Norm Estimates for the Composition of the Homotopy and Green’s Operator

Huacan Li | Qunfang Li
  • Special Issue
  • - Volume 2014
  • - Article ID 697974
  • - Research Article

Variational Integrals of a Class of Nonhomogeneous -Harmonic Equations

Guanfeng Li | Yong Wang | Gejun Bao
  • Special Issue
  • - Volume 2014
  • - Article ID 675464
  • - Research Article

Poincaré-Type Inequalities for the Composite Operator in -Averaging Domains

Guannan Shi | Yuming Xing | Baiqing Sun
  • Special Issue
  • - Volume 2014
  • - Article ID 280214
  • - Research Article

The Existence of Solutions to the Nonhomogeneous -Harmonic Equations with Variable Exponent

Haiyu Wen
  • Special Issue
  • - Volume 2014
  • - Article ID 363089
  • - Research Article

A Parameter Property of Classical Solutions of Cauchy Problems

Min He
  • Special Issue
  • - Volume 2013
  • - Article ID 213536
  • - Research Article

An Efficient Variational Method for Image Restoration

Jun Liu | Ting-Zhu Huang | ... | Si Wang
Abstract and Applied Analysis
 Journal metrics
Acceptance rate12%
Submission to final decision64 days
Acceptance to publication82 days
CiteScore0.580
Impact Factor-
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