The existence of a classical solution to the mixed problem for a linear second-order hyperbolic equation

1993 ◽  
Vol 45 (9) ◽  
pp. 1382-1389
Author(s):  
Yu. A. Mitropol'skii ◽  
L. G. Khoma
Keyword(s):  
Hyperbolic Equation ◽  
Classical Solution ◽  
Mixed Problem ◽  
Second Order ◽  
Order Hyperbolic Equation ◽  
Second Order Hyperbolic Equation

The mixed problem for a degenerate second-order hyperbolic equation

1993 ◽  
Vol 66 (6) ◽  
pp. 2583-2586
Author(s):  
S. P. Lavrenyuk
Keyword(s):  
Hyperbolic Equation ◽  
Mixed Problem ◽  
Second Order ◽  
Order Hyperbolic Equation ◽  
Second Order Hyperbolic Equation

On a Spatial Problem of Darboux Type for a Second-Order Hyperbolic Equation

1995 ◽  
Vol 2 (3) ◽  
pp. 299-311
Author(s):  
S. Kharibegashvili
Keyword(s):  
Sobolev Space ◽  
Hyperbolic Equation ◽  
Unique Solvability ◽  
Second Order ◽  
Spatial Problem ◽  
Order Hyperbolic Equation ◽  
Second Order Hyperbolic Equation

Abstract The theorem of unique solvability of a spatial problem of Darboux type in Sobolev space is proved for a second-order hyperbolic equation.

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