PROPERTIES OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACE

Abstract

This analysis concerns the study of equations of the form Lu = 1 dui dt - Au = 0 for functions u(t) with values in some Banach space, as well as inhomogeneous equations Lu = f and ligh ly perturbed equations, with the main emphasis on the behavior of solutions a t + . Treated are equations for which the initial value probl (prescribing u at some value of t) is not necessarily well posed. Particularly consi ered are equations arising from partial differential equations in a cylinder (with t axis along the g nerator) which may be elliptic, and for which, therefore the initial value problem is indeed not well posed. The operator A then represents a partial differential operator in the variables in the base of the cylinder. ( ut or)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0273083

Entities

People

  • L. Nirenberg
  • S. Agmon

Organizations

  • Army Research Office

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra
  • Snow Cover Descriptors for Reptiles and Their Illustrations.

Technology Areas

  • Space
  • Space - Orbital Debris