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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.
Tariel Kiguradze
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Higher-Order Gauss–Lobatto Integration for Non-Linear Hyperbolic Equations
Journal of Scientific Computing, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bart De Maerschalck, Marc I. Gerritsma
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On solvability of boundary value problems for higher order nonlinear hyperbolic equations
Nonlinear Analysis: Theory, Methods & Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiguradze, Ivan, Kiguradze, Tariel
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