Abstract Methods in Partial Differential Equations

Detailed and self-contained, this treatment is directed to graduate students with some previous exposure to classical partial differential equations. The author examines a variety of modern abstract methods in partial differential equations, especially in the area of abstract evolution equations. Additional topics include the theory of nonlinear monotone operators applied to elliptic and variational problems. 1969 edition.


About the Author
Robert W. Carroll is Professor of Mathematics, University of Illinois at Urbana-Champagne, and the author of a dozen books on mathematics and mathematical physics. His recent publications include On the Emergence Theme of Physics (World Scientific, 2010), Fluctuations, Information, Gravity and the Quantum Potential (Springer, 2006), and Calculus Revisited (Kluwer, 2003).