Book:Fritz John/Plane Waves and Spherical Means

Subject Matter

 * Partial Differential Equations

Contents

 * Foreword


 * Introduction




 * Decomposition of an Arbitrary Function into Plane Waves




 * The Initial Value Problem for Hyperbolic Homogeneous Equations with Constant Coefficients




 * The Fundamental Solution of a Linear Elliptic Differential Equation with Analytic Coefficients




 * Identities for Spherical Means




 * The Theorems of Asgeirsson and Howard




 * Determination of a Function from its Integrals over Spheres of a Fixed Radius




 * Differentiability Properties of Solutions of Elliptic Systems




 * Regularity Properties for Integrals of Solutions over Time-like Lines


 * Bibliography


 * Index