Stability and growth estimates for electric fields in non-conducting material dielectrics

DOI10.1016/0022-247X(79)90026-XzbMath0418.45014OpenAlexW2069055881MaRDI QIDQ755788

Frederick Bloom

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90026-x

zbMATH Keywords

stabilityHilbert spaceconstitutive equationgrowth estimatesabstract integro-differential equationelectric fields in non conducting material dielectrics

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Electromagnetic theory (general) (78A25) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (3)

Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory ⋮ Growth estimates for electric displacement fields and bounds for constitutive constants in the Maxwell-Hopkinson theory of dielectrics ⋮ Lower bounds for solutions to a class of nonlinear integrodifferential equations in hilbert space

Cites Work

• Unnamed Item
• Linear functional electromagnetic constitutive relations and plane waves in a hemihedral isotropic material
• Hyperbolic integrodifferential equations arising in the electromagnetic theory of dielectrics
• Growth estimates for solutions to initial-boundary value problems in viscoelasticity
• On stability in linear viscoelasticity
• An abstract Volterra equation with applications to linear viscoelasticity
• Stability and growth estimates for Volterra integrodifferential equations in Hilbert space

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