Remarks on Generators of Analytic Semigroups.

Abstract

This paper contains two new characterizations of generators of analytic semigroups of linear operators in a Banach space. These characterizations do not require use of complex numbers. One is used to give a new proof that strongly elliptic second order partial differential operators generate analytic semigroups in L superscript p, 1 < p < infinity, while the sufficient condition in the other characterization is meaningful in the case of nonlinear operators. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA068934

Entities

People

  • A. Pazy
  • L. Tartar
  • M. G. Crandall

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Banach Space
  • Classification
  • Complex Numbers
  • Differential Equations
  • Equations
  • Functional Analysis
  • Generators
  • Identities
  • Inequalities
  • Mathematics
  • North Carolina
  • Numbers
  • Partial Differential Equations
  • Security
  • United States
  • Wave Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.

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  • Space