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Solutions to the Equations of One-Dimensional Viscoelasticity in BV

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Publication:3703383
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DOI10.1137/0514052zbMath0581.73043OpenAlexW1964464446MaRDI QIDQ3703383

Jong Uhn Kim

Publication date: 1983

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0514052


zbMATH Keywords

Fourier transformasymptotic behaviorCauchy probleminitial value problemsmall initial datafunctions of bounded variationglobal existence of solutionslinearizedone-dimensional viscoelasticityrate typeoriginal nonlinear system


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)


Related Items (1)

On the Model Equations which Describe Nonlinear Wave Motions in a Rotating Fluid







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