ABSTRACT

Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularizat

chapter 0|16 pages

Illustration and Motivation

chapter 1|104 pages

Semigroup Methods

chapter 2|58 pages

Abstract Distribution Methods

chapter 3|24 pages

Regularization Methods