scholarly journals On initial-boundary value problems in bounded and unbounded domains for a class of nonlinear hyperbolic equations of the third order

2006 ◽  
Vol 324 (2) ◽  
pp. 1242-1261 ◽  
Author(s):  
Tariel Kiguradze ◽  
V. Lakshmikantham
Keyword(s):  
Boundary Value Problems ◽  
Hyperbolic Equations ◽  
Boundary Value ◽  
Unbounded Domains ◽  
Initial Boundary ◽  
Initial Boundary Value Problems ◽  
Nonlinear Hyperbolic Equations ◽  
Third Order ◽  
The Third ◽  
Initial Boundary Value

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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