Partial Differential Equations - (Dover Books on Mathematics) by Avner Friedman (Paperback)

This comprehensive three-part treatment of partial differential equations covers elliptic and evolution equations, providing a self-contained introduction to advanced topics for further study.

Geared towards graduate and postgraduate students of mathematics, this volume also serves as a valuable reference for mathematicians and mathematical theorists.

With a focus on developing the theory of weak derivatives, proving various inequalities and imbedding problems, and deriving smoothness theorems, this book provides a solid foundation for understanding partial differential equations.

The final section includes independent topics directly related to the methods and results of the previous material, including the analyticity of solutions of elliptic and parabolic equations, asymptotic behavior of solutions of elliptic equations near infinity, and problems in the theory of control in Banach space.

Whether you're a student looking for a comprehensive introduction to partial differential equations or a professional seeking a valuable reference, this book is an essential resource for anyone interested in mathematics and its applications.