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Lp-Theory of Differential Forms and Related Operators with Applications

Call for Papers

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:

Manuscript DueFriday, 6 December 2013
First Round of ReviewsFriday, 28 February 2014
Publication DateFriday, 25 April 2014

Lead Guest Editor

  • Shusen Ding, Department of Mathematics, Seattle University, Seattle, WA 98122, USA

Guest Editors

  • Yong Wang, Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
  • Peilin Shi, Department of Epidemiology, Harvard School of Public Health, Harvard University, Boston, MA 02115, USA
  • Yuming Xing, Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China