Growth estimates for electric displacement fields and bounds for constitutive constants in the Maxwell-Hopkinson theory of dielectrics

DOI10.1016/0020-7225(79)90002-8zbMath0395.73094OpenAlexW2097630652MaRDI QIDQ1253141

Frederick Bloom

Publication date: 1979

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(79)90002-8

zbMATH Keywords

DielectricsGrowth EstimatesElectric Displacement FieldsAbstract Differential EquationsBounds for Constitutive ConstantsMaxwell-Hopkinson TheoryUndamped Linear Integrodifferential Equation In Hilbert Space

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Electromagnetic effects in solid mechanics (74F15) General topics in optics and electromagnetic theory (78A99)

Related Items (3)

Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory ⋮ Concavity arguments and growth estimates for damped linear integrodifferential equations with applications to a class of holohedral isotropic dielectrics ⋮ On the nonexistence of globally bounded solutions to initial-history value problems for integrodifferential equations^†

Cites Work

• Stability and growth estimates for electric fields in non-conducting material dielectrics
• Linear functional electromagnetic constitutive relations and plane waves in a hemihedral isotropic material
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Bounds for Solutions to a Class of Integro-differential Equations Associated with a Theory of Rigid Nonconducting Material Dielectrics
• Some Nonexistence Theorem for Initial-Boundary Value Problems with Nonlinear Boundary Constraints
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)

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