Boundary value problems for a second-order hyperbolic equation in Hilbert space

Cybernetics ◽  
1975 ◽  
Vol 10 (3) ◽  
pp. 552-553
Author(s):  
L. I. Vainerman
Keyword(s):  
Hilbert Space ◽  
Hyperbolic Equation ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
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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