PRINCIPLES OF RADIATION, LIMIT ABSORPTION AND LIMIT AMPLITUDE IN THE GENERAL THEORY OF PARTIAL DIFFERENTIAL EQUATIONS

Abstract

CONTENTS Introduction Chapter I. Equations with constant coefficients § 1. Auxiliary statements § 2. Construction of fundamental solutions § 3. Asymptotic behaviour of fundamental solutions § 4. Conditions for existence and uniqueness of a solution Chapter II. Principle of limit absorption § 1. “Generalized” principle of limit absorption § 2. Sharpening of Theorem 2.2 Chapter III. Equations with variable coefficients § 1. Conditions for existence and uniqueness of a solution § 2. An example § 3. A sufficient condition for § 4. Principle of limit absorption and generalized principle of limit absorption for equations with variable coefficients Chapter IV. Principle of limit amplitude References