A Goursat problem for the wave equation

The purpose of this paper is to study the stability of solutions \(u=u(x,y,t)\) of the Goursat problem for the wave equation \[ u_{tt}- u_{xx}-u_{yy}=0, \] with data on characteristic planes \[ u(x,y,y)= \phi(x,y);\quad u(x,y,-y)= \psi(x,y). \]

Country

Italy

Related Organizations

University of Florence
Italy

Keywords

Goursat problem, Wave equation, stability of solutions, wave equation, data on characteristic planes, Stability in context of PDEs

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