Accession Number:

ADA045838

Title:

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

Descriptive Note:

Interim rept.,

Corporate Author:

SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS AND COMPUTER SCIENCE

Personal Author(s):

Report Date:

1977-01-01

Pagination or Media Count:

32.0

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.

Subject Categories:

  • Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE