Growth estimates for solutions to initial-boundary value problems in viscoelasticity

DOI10.1016/0022-247X(77)90074-9zbMath0361.45010MaRDI QIDQ1239450

Frederick Bloom

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (7)

Unnamed Item ⋮ Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory ⋮ On exponential growth estimates for solutions of ill-posed integrodifferential initial-history value problems ⋮ Stability and growth estimates for Volterra integrodifferential equations in Hilbert space ⋮ Lower bounds for solutions to a class of nonlinear integrodifferential equations in hilbert space ⋮ Stability and growth estimates for electric fields in non-conducting material dielectrics ⋮ On the nonexistence of globally bounded solutions to initial-history value problems for integrodifferential equations^†

Cites Work

• Unnamed Item
• Uniqueness and growth of weak solutions to certain linear differential equations in Hilbert space
• An abstract Volterra equation with applications to linear viscoelasticity
• Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound

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