Recent developments on pseudo-differential operators (II)

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Published: Sep 30, 2015
DOI: https://doi.org/10.5556/j.tkjm.46.2015.1785
Keywords:
pseudo-differential operators boundary value problems operator-valued symbols Fourier transform Dirichlet-to-Neumann operator Zaremba problem $\bar\partial$-Neumann problem

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Der-chen Edward Chang
Xiaojing Lyu
Bert-Wolfgang Schulze

Abstract

The analysis on manifolds with singularities is a rapidly developing field of research, with new achievements and compelling challenges. We present here elements of an iterative approach to building up pseudo-differential structures. Those participate in operator algebras on singular manifolds and reflect the properties of parametrices of elliptic operators, including boundary value problems.

Article Details

How to Cite
Chang, D.- chen E., Lyu, X., & Schulze, B.-W. (2015). Recent developments on pseudo-differential operators (II). Tamkang Journal of Mathematics, 46(3), 281–348. https://doi.org/10.5556/j.tkjm.46.2015.1785
Issue
Vol. 46 No. 3 (2015)
Section
Papers
Author Biographies

Der-chen Edward Chang

Department ofMathematics and Statistics, Georgetown University,Washington D.C. 20057, USA. Department ofMathematics, Fu Jen Catholic University, Taipei 242, Taiwan, ROC.

Xiaojing Lyu

College of Science, Tianjin University of Technology and Education, Tianjin, 300222, P.R. China

Bert-Wolfgang Schulze

Institute ofMathematics, University of Potsdam, Am Neuen Palais 10, D-14469 Potsdam, Germany.

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