A mixed problem for a class of second-order nonlinear hyperbolic systems with Dirichlet and Poincaré boundary conditions

DOI10.1134/s000143462311010xOpenAlexW4392741091MaRDI QIDQ6154070

N. N. Shavlakadze, S. S. Kharibegashvili, O. M. Dzhokhadze

Publication date: 19 March 2024

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462311010x

zbMATH Keywords

a priori estimatemixed problemsemilinear hyperbolic systemLaplace invariants

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) A priori estimates in context of PDEs (35B45) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Systems of nonlinear wave equations with damping and source terms.
• On the global continuous solvability of the mixed problem for one-dimensional hyperbolic systems of quasilinear equations
• Initial-boundary value problems for second order systems of partial differential equations
• A Mixed Problem for Normal Hyperbolic Linear Partial Differential Equations of Second Order
• Mixed initial‐boundary value problems for second order hyperbolic equations
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