Concavity Arguments and Growth Estimates for Linear Integrodifferential Equations in Hilbert Space II. Damped Equations and Applications to a Class of Holoherdal Isotropic Dielectrics.
Frederick Bloom · 1977
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.