Compact Course on Linear PDEs

Discover the essential insights into linear partial differential equations with the Compact Course on Linear PDEs by Alberto Valli. This second edition, published in 2023 by Springer International Publishing AG, spans 262 pages, making it an invaluable resource for students and professionals alike.

This comprehensive guide covers a wide array of topics, including elliptic equations and the biharmonic problem, along with crucial notes on functional analysis. Gain a deeper understanding of Sobolev spaces and their properties, explore fundamental results on the Fredholm alternative and spectral theory, and delve into saddle point problems. Additionally, the book addresses parabolic and linear Navier-Stokes equations, as well as hyperbolic and Maxwell equations, providing a well-rounded foundation in the subject.

Whether you're looking to enhance your knowledge or seeking a reliable reference, this book is a must-have for anyone interested in the field of linear PDEs.