On a local existence theorem for quasilinear hyperbolic mixed problems with Neumann type boundary conditions

DOI10.3792/pjaa.62.117zbMath0601.35074OpenAlexW1968904027MaRDI QIDQ1081028

Gen Nakamura, Yoshihiro Shibata

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.117

zbMATH Keywords

gravitylocal existencenonlinear wave equationclassical solutionsNeumann problemsmall deformationhomogeneous, isotropic, hyperelastic materialsurface force of dead load type

Mathematics Subject Classification ID

Related Items (1)

The Work of Yoshihiro Shibata

Cites Work

• Unnamed Item
• Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
• On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain
• Long-time behavior of solutions to nonlinear evolution equations
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Local existence of solution for the initial boundary value problem of fully nonlinear wave equation
• On a Global Existence Theorem of Neumann Problem for Some Quasi-Linear Hyperbolic Equations
• Finite amplitude waves in a homogeneous isotropic elastic solid

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