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\markboth{H.Y. HUANG AND D.H. YU}
         {Natural Boundary }

\title{NATURAL BOUNDARY
       \thanks{This work }}

\author{Hongying Huang and
    % The corresponding author is marked by a \footnote
    Dehao Yu
    \affiliation{LSEC, ICMSEC,\\
  Email:
          }}
        %Third Author\affiliation{ICMSEC, CAS}}



%-------------(Institute address)
({\it State Key Laboratory of Scientific and Engineering Computing,
Institute of Computational Mathematics and Scientific/Engineering
Computing, Academy of Mathematics and Systems Science, Chinese
Academy of Sciences, Beijing 100080,  China})

 ({\it LSEC, ICMSEC,
Academy of Mathematics and Systems Science, Chinese Academy of
Sciences, Beijing 100080,  China})
%------------------

\maketitle

\begin{abstract}

\end{abstract}

\begin{classification}
65N38, 65N30.
\end{classification}

\begin{keywords}
Natural boundary reduction, Prolate spheroid boundary.
\end{keywords}


\section{Introduction}


\section{Variational Problem and Its Well-posedness}



\begin{thebibliography}{00}

\bibitem{1} Feng Kang, Differential vs. integral equations and finite
vs. infinite elements, \it Math. Numer. Sinica, {\bf 2}:1 \rm
(1980), 100-105.


\end{thebibliography}

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