Second-order nonlinear hyperbolic equations

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Weakly nonlinear hyperbolic differential equation of the second order in Hilbert space

Topological Methods in Nonlinear Analysis
We consider nonlinear perturbations of the hyperbolic equation in the Hilbert space. Necessary and sufficient conditions for the existence of solutions of boundary-value problem for the corresponding equation and iterative procedures for their finding are obtained in the case when the operator in linear part of the problem hasn't inverse and can have ...
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Propagation of analytic regularity for analytic fully nonlinear second order strictly hyperbolic equations in two variables

Communications in Partial Differential Equations, 1986
Etude de la propagation de la regularite pour les equations a deux variables, analytiques strictement hyperboliques completement non lineaires du second ...
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Inverse problems for nonlinear hyperbolic equations

Discrete and Continuous Dynamical Systems, 2021
Jian Zhai, GÜNTHER Uhlmann
exaly

Existence and Uniqueness of Solutions to a Second Order Nonlinear Nonlocal Hyperbolic Equation

2001
Azmy Ackleh +3 more
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The Vallée-Poussin problem for higher order nonlinear hyperbolic equations

Computers and Mathematics With Applications, 2010
Tariel Kiguradze
exaly

On Doubly Periodic Solutions of Nonlinear Hyperbolic Equations of Higher Order

Georgian Mathematical Journal, 2007
Tariel Kiguradze
exaly

Integration and singularities of solutions for nonlinear second order hyperbolic equation

2003
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Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations

Computers and Mathematics With Applications, 2020
Shi Dongyang
exaly