On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition

DOI10.1016/0022-0396(89)90099-5zbMath0689.35055OpenAlexW2006352863MaRDI QIDQ581756

Masahiro Kikuchi, Yoshihiro Shibata

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90099-5

zbMATH Keywords

mixed problemquasilinear systemfully nonlinear boundary condition

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55)

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Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• Lectures on three-dimensional elasticity. Notes by S. Kesavan
• On the Neumann problem for some linear hyperbolic systems of 2nd order with coefficients in Sobolev spaces
• On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order
• On the positivity of the second variation in finite elasticity
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