This book presents a survey of the theory of general linear partial differential equations and, in particular, of equations with constant coefficients. It is written for researchers and graduate students in mathematics and theoretical physics.
This is a book on PDEs which is accessible to non-specialists Includes supplementary material: sn.pub/extras
Yu.V. Egorov
Distributionen Partial differential equations Partielle Differentialgleichungen Pseudodifferentialoperatoren asymptotic methods asymptotische Methoden distributions microlocal analysis mikrolokale Analysis pseudodifferential operators differential equation differential operator distribution Fourier integral hyperbolic equation
"... Summarizing, the book presents a well-written survey of the modern theory of general PDE-s with most necessary proofs or hints, and with some explicit constructions. Therefore it will be useful for specialists in PDE-s as well as for students with basic knowledge in classical theory of PDE-s. The book is warmly recommended also to physicists, engineers and anyone interested in theory or/and applications of PDE-s."
J. Hegedüs, Acta Scientiarum Mathematicarum, Vol. 70, 2004