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Friedrichs systems for the three-dimensional wave equation - MaRDI portal

Friedrichs systems for the three-dimensional wave equation (Q542181)

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scientific article; zbMATH DE number 5905388
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Friedrichs systems for the three-dimensional wave equation
scientific article; zbMATH DE number 5905388

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    Friedrichs systems for the three-dimensional wave equation (English)
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    8 June 2011
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    The reduction of the wave equation to a symmetric system has a certain importance in connection with solving boundary value problems. The paper focuses on the reduction of the wave equation with three dimension space variable to a so-called Friedrichs symmetric hyperbolic system. Conditions under which the obtained system is \(x_0\)-Friedrichs symmetric hyperbolic are pointed out. There are also some comments in connection with the Lorentz transformation of the obtained system.
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    Lorentz transformation
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    quaternion
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