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

open access: yesGeorgian Mathematical Journal, 2017
Abstract Problems 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.
Kiguradze, Tariel, Ben-Rabha, Raja
exaly   +5 more sources

Blow up of positive initial-energy solutions for a coupled nonlinear higher-order hyperbolic equations

open access: yesAIP Conference Proceedings, 2015
This work studies an initial-boundary value problem of the coupled nonlinear higher-order hyperbolic equations with damping and source terms. Under suitable conditions on the initial datum, we prove the blow up of solutions with positive initial energy. We generalize some earlier results concerning the system.
Piskin, Erhan, Polat, Necat
openaire   +3 more sources
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Higher-Order Gauss–Lobatto Integration for Non-Linear Hyperbolic Equations

Journal of Scientific Computing, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bart De Maerschalck, Marc I. Gerritsma
openaire   +1 more source

On solvability of boundary value problems for higher order nonlinear hyperbolic equations

Nonlinear Analysis: Theory, Methods & Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiguradze, Ivan, Kiguradze, Tariel
openaire   +1 more source

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