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Well-Posed Initial-Value Problems; Semigroups

  • Robert D. Richtmyer
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

This chapter gives the general theory of linear initial-value problems or problems of evolution in physics.

Keywords

Banach-space formulation strict solution Hadamard’s concept of a well-posed problem existence and uniqueness of the solution continuous dependence on the initial state generalized solution semigroup strongly continuous semigroup infinitesimal generator Hille-Yosida theorem inhomogeneous problems inhomogeneous boundary conditions problems with explicit time dependence applications to heat flow, wave motion, quantum mechanics, electromagnetism, and neutron transport 

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Copyright information

© Springer-Verlag New York Inc. 1978

Authors and Affiliations

  • Robert D. Richtmyer
    • 1
  1. 1.Department of Physics and AstrophysicsUniversity of ColoradoBoulderUSA

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