This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types. Aspects of Brownian motion or pattern formation processes are also presented. The second part focuses on existence schemes and develops estimates for solutions of elliptic equations, such as Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. In particular, the reader will learn the basic techniques underlying current research in elliptic partial differential equations.
This revised and expanded third edition is enhanced with many additional examples that will help motivate the reader. New features include a reorganized and extended chapter on hyperbolic equations, as well as a new chapter on the relations between different types of partial differential equations, including first-order hyperbolic systems, Langevin and Fokker-Planck equations, viscosity solutions for elliptic PDEs, and much more. Also, the new edition contains additional material on systems of elliptic partial differential equations, and it explains in more detail how the Harnack inequality can be used for the regularity of solutions.
"synopsis" may belong to another edition of this title.
Jürgen Jost is currently a codirector of the Max Planck Institute for Mathematics in the Sciences and an honorary professor of mathematics at the University of Leipzig.
From the book reviews:
“This graduate-level book is an introduction to the modern theory of partial differential equations (PDEs) with an emphasis on elliptic PDEs. ... The book is undoubtedly a success in the presentation of diverse methods in PDEs at such an introductory level. The reader has a great opportunity to learn basic techniques underlying current research in elliptic PDEs and be motivated for advanced theory of more general elliptic PDEs and nonlinear PDEs.” (Dhruba Adhikari, MAA Reviews, December, 2014)
“This revised version gives an introduction to the theory of partial differential equations. ... Every chapter has at the end a very helpful summary and some exercises. This book is very useful for a PhD course.” (Vincenzo Vespri, Zentralblatt MATH, Vol. 1259, 2013)
"Because of the nice global presentation, I recommend this book to students and young researchers who need the now classical properties of these second-order partial differential equations. Teachers will also find in this textbook the basis of an introductory course on second-order partial differential equations."
- Alain Brillard, Mathematical Reviews
"Beautifully written and superbly well-organised, I strongly recommend this book to anyone seeking a stylish, balanced, up-to-date survey of this central area of mathematics."
- Nick Lord, The Mathematical Gazette
"About this title" may belong to another edition of this title.
Shipping:
US$ 3.99
Within U.S.A.
Shipping:
FREE
Within U.S.A.
Seller: TextbookRush, Grandview Heights, OH, U.S.A.
Condition: Very Good. Ships SAME or NEXT business day. We Ship to APO/FPO addr. Choose EXPEDITED shipping and receive in 2-5 business days within the United States. See our member profile for customer support contact info. We have an easy return policy. Seller Inventory # 52495805
Quantity: 1 available
Seller: Basi6 International, Irving, TX, U.S.A.
Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEJUNE24-10456
Quantity: 1 available
Seller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Seller Inventory # ABTR-296841
Quantity: 2 available
Seller: Books Puddle, New York, NY, U.S.A.
Condition: New. pp. 426. Seller Inventory # 2658569666
Quantity: 2 available
Seller: Majestic Books, Hounslow, United Kingdom
Condition: New. pp. 426 10 Illus. Seller Inventory # 50990109
Quantity: 2 available
Seller: Biblios, Frankfurt am main, HESSE, Germany
Condition: New. Seller Inventory # 1858569672
Quantity: 4 available
Seller: Libro Co. Italia Srl, San Casciano Val di Pesa, FI, Italy
Condition: Libro. 2012; ril., pp. 410, cm 24,5x16. Seller Inventory # 1663145
Quantity: 1 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: New. Seller Inventory # 18954266-n
Quantity: 5 available
Seller: booksXpress, Bayonne, NJ, U.S.A.
Hardcover. Condition: new. Seller Inventory # 9781461448082
Quantity: 3 available
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9781461448082_lsuk
Quantity: Over 20 available