Classical solution of the first mixed problem for second-order hyperbolic equation in curvilinear half-strip with variable coefficients

2017 ◽  
Vol 53 (1) ◽  
pp. 74-85 ◽  
Author(s):  
V. I. Korzyuk ◽  
I. I. Stolyarchuk
Keyword(s):  
Hyperbolic Equation ◽  
Classical Solution ◽  
Mixed Problem ◽  
Variable Coefficients ◽  
Second Order ◽  
Half Strip ◽  
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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