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A Goursat problem for the wave equation

1986
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 \[ u(x,y,y)= \phi(x,y);\quad u(x,y,-y)= \psi(x,y). \]
openaire   +2 more sources

The Cauchy-Goursat problem

Memoirs of the American Mathematical Society, 1972
openaire   +1 more source

NONLOCAL CAUCHY-GOURSAT PROBLEM

1989
V. I. Zhegalov, R. R. Chabakaev
openaire   +1 more source

Asymptotic behavior of global classical solutions to Goursat problem of quasilinear hyperbolic systems

Journal of Mathematical Analysis and Applications, 2012
Kejia Pan, Jianli Liu
exaly  

One Goursat problem in a Sobolev space

Russian Mathematics, 2011
exaly  

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