Concavity Arguments and Growth Estimates for Linear Integrodifferential Equations in Hilbert Space I. Undamped Equations and Applications to Maxwell Hopkinson Dielectrics.

Abstract

Employing a modified version of a concavity argument for abstract differential equations, growth estimate are obtained for solutions to a class of initial-value problems associated with an undamped linear integrodifferential equation in Hilbert space; our results are applied to the derivation of growth estimates for the gradients of electric displacement fields occurring in rigid nonconducting material dielectrics of Maxwell-Hopkinson type.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA045838

Entities

People

  • Frederick Bloom

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Constitutive Equations
  • Dielectrics
  • Differential Equations
  • Displacement
  • Electric Fields
  • Equations
  • Formulas (Mathematics)
  • Inequalities
  • Magnetic Flux Density
  • Materials
  • Mathematics
  • Numbers
  • South Carolina

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Space