The Mathematical Theory of Time-Harmonic Maxwell's Equations

Focusing on the theoretical analysis of the Maxwell Equations, this book introduces essential techniques and function spaces necessary for rigorous investigation of boundary integral and variational equations. Developed from years of lectures, it serves as a resource for designing graduate courses aimed at mathematically inclined students. The content is accessible, beginning with simpler Helmholtz Equations before progressing to Maxwell Equations, and includes examples and exercises. It is particularly beneficial for graduate students, researchers in applied mathematics, and engineers in electromagnetic wave propagation.