Introduction * Part I: Boundary Value Problems for Regular, Generalized, Regular and Pluriregular Elliptic Equations * Two Dimensional Cases * Multi-Dimensional Cases * Part II: Initial Value Problems for Regular, Pluriregular Hyperbolic and Parabolic Equations * Hyperbolic and Plurihyperbolic Equations in Clifford Analysis * Parabolic and Pluriparabolic Equations in Clifford Analysis * Epilogue * References * Index

Parabolic equations in this framework have been largely ignored and are the primary focus of this work.; This book will appeal to mathematicians and physicists in PDEs who are interested in boundary and initial value problems, and may be used as a supplementary text by graduate students.