Kevorkian J. Partial Differential Equations: Analytical Solution Techniques

N.-Y.: Springer, 2000. - 637p.This volume contains a broad treatment of important partial differential equations, particularly emphasizing the analytical techniques. In each chapter the author raises various questions concerning the particular equations discussed therein, discusses different methods for tackling these equations, gives applications and examples, and concludes with a list of proposed problems and a relevant bibliography. This new edition will be substantially updated to take account of the new techniques available. Students and researchers in mathematics, physics and engineering will find this book useful.The Diffusion Equation.
Laplace’s Equation.
The Wave Equation.
Linear Second-Order Equations with Two Independent Variables.
The Scalar Quasilinear First-Order Equation.
Nonlinear First-Order Equations.
Quasilinear Hyperbolic Systems.
Approximate Solutions by Perturbation Methods.