A Compact Course on Linear PDEs

Download or read book A Compact Course on Linear PDEs written by Alberto Valli and published by Springer Nature. This book was released on 2021-01-12 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including some basic results on Fredholm alternative and spectral theory, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, saddle point problems, parabolic equations and hyperbolic equations. Many exercises are added, and the complete solution of all of them is included. The work is mainly addressed to students in Mathematics, but also students in Engineering with a good mathematical background should be able to follow the theory presented here.