Existence of local solutions of the Kirchhoff-Carrier equation in Banach spaces

DOI10.1016/j.na.2007.03.047zbMath1162.35427OpenAlexW1976910324MaRDI QIDQ943773

B. E. Eshmatov

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.03.047

zbMATH Keywords

local solutionsquasilinear hyperbolic equationKirchhoff-Carrier equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Abstract hyperbolic equations (35L90)

Related Items (4)

Global existence and asymptotic behavior for a mildly degenerate Kirchhoff wave equation with boundary damping ⋮ Existence results for some Kirchhoff-Carrier problems ⋮ Global solution and exponential decay for a nonlinear hyperbolic equation in Banach spaces ⋮ The existence and decay of solutions of a damped Kirchhoff-Carrier equation in Banach spaces

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