# The Well-Posedness of the Dirichlet Problem in  the Cylindric Domain for the Multidimensional  Wave Equation

Authors: Serik A. Aldashev
Journal: Mathematical Problems in Engineering
 (2010)

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## Abstract

In the theory of hyperbolic PDEs, the boundary-value problems with conditions on
the entire boundary of the domain serve typically as the examples of the ill-posedness.
The paper shows the unique solvability of the Dirichlet problem in the cylindric domain
for the multidimensional wave equation. We also establish the criterion for the unique
solvability of the equation.


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## Body


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*Source: 653215-2010-06-30.xml*