Concavity Arguments and Growth Estimates for Linear Integrodifferential Equations in Hilbert Space II. Damped Equations and Applications to a Class of Holoherdal Isotropic Dielectrics.

Abstract

Concavity arguments are employed so as to obtain growth estimates for solutions to two initial-value problems associated with a class of damped integrodifferential equations in Hilbert space; by applying the results obtained in this abstract setting growth estimates are obtained for the gradients of electric displacement fields which occur in a class of holohedral isotropic nonconducting rigid dielectrics.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA045843

Entities

People

  • Frederick Bloom

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Constitutive Equations
  • Dielectrics
  • Displacement
  • Equations
  • Flux Density
  • Hypotheses
  • Kernel Functions
  • Magnetic Flux
  • Magnetic Flux Density
  • Materials
  • Periodic Functions
  • Real Numbers
  • Scalar Functions
  • South Carolina

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.

Technology Areas

  • Space