Ill-Posed Initial-Boundary Value Problems for Higher-Order Linear Hyperbolic Equations with Two Independent Variables

2003 ◽  
Vol 39 (10) ◽  
pp. 1454-1470 ◽  
Author(s):  
T. I. Kiguradze ◽  
T. Kusano
Keyword(s):  
Boundary Value Problems ◽  
Hyperbolic Equations ◽  
Initial Boundary ◽  
Higher Order ◽  
Initial Boundary Value Problems ◽  
Independent Variables ◽  
Ill Posed ◽  
Initial Boundary Value ◽  
Two Independent Variables ◽  
Linear Hyperbolic Equations

On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables

2017 ◽  
Vol 24 (3) ◽  
pp. 409-428 ◽  
Author(s):  
Tariel Kiguradze ◽  
Raja Ben-Rabha
Keyword(s):  
Hyperbolic Equations ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Higher Order ◽  
Well Posedness ◽  
Initial Boundary Value Problems ◽  
Nonlinear Hyperbolic Equations ◽  
Independent Variables ◽  
Initial Boundary Value

AbstractProblems with linear initial-boundary conditions for higher order nonlinear hyperbolic equations are investigated. The concept of strong well-posedness of an initial-boundary value problem is introduced, and conditions guaranteeing solvability and strong well-posedness of the problem under consideration are established.

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