Translations of Mathematical Monographs 1992; 225 pp; hardcover Volume: 114 ISBN10: 0821845705 ISBN13: 9780821845707 List Price: US$101 Member Price: US$80.80 Order Code: MMONO/114
 This book presents a selfcontained exposition of the theory of initialboundary value problems for diffusion equations. Intended as a graduate textbook, the book is of interest to mathematicians as well as theoretical physicists. Because it uses as little knowledge of functional analysis as possible, the book is accessible to those with a background in multivariable calculus, elementary Lebesgue integral theory, and basic parts of the theory of integral equations. Itô treats diffusion equations with variable coefficients associated with boundary conditions and the corresponding elliptic differential equations. The fundamental solution of the initialboundary value problem and Green's function for the elliptic boundary value problem are constructed, and the existence of solutions of these problems is proved. In addition, the book discusses several important properties of the solutions. Readership Graduate students of pure and applied mathematics and of theoretical physics. Table of Contents  Fundamental solutions of diffusion equations in Euclidean spaces
 Diffusion equations in a bounded domain
 Diffusion equations in unbounded domains
 Elliptic boundary value problems
 Some related topics in vector analysis
