Brief Communications

On Some Formulations of the Cauchy and Dirichlet Problems

S. A. Tersenov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Keywords: parabolic equation, Cauchy problem, elliptic equation, Dirichlet problem, unique solvability, method of successive approximations.

Received: 26.09.2008
Revised: 16.08.2009

DOI: 10.4213/mzm6620

 English version: Mathematical Notes, 2010, 87:1, 146–150

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