On Conservative Boundary Conditions for Operators of Constant Deficit: The Maxwell Operator.

Abstract

For the Maxwell operator in R(sup 3, sub +) conservative boundary conditions of the following type are studied: on the boundary (R sub 2) x (0) the real and imaginary parts of the function should belong to a prescribed subspace of (R sup 6). There is a natural equivalence relation on the class of such subspaces and each such subspace belongs to one of two equivalence classes. The principal object of this investigation is to obtain some insight into the coerciveness question for nonelliptic operators whose symbols have constant rank. (Author Modified Abstract)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1972
Accession Number
AD0756692

Entities

People

  • John R. Schulenberger

Organizations

  • University of Utah

Tags

DTIC Thesaurus Topics

  • Boundaries

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra