Title
Partial Differential Equations (Graduate Studies In Mathematics, Vol. 19),Used
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This Text Gives A Comprehensive Survey Of Modern Techniques In The Theoretical Study Of Partial Differential Equations (Pdes) With Particular Emphasis On Nonlinear Equations. The Exposition Is Divided Into Three Parts: 1) Representation Formulas For Solutions, 2) Theory For Linear Partial Differential Equations, And 3) Theory For Nonlinear Partial Differential Equations.Included Are Complete Treatments Of The Method Of Characteristics; Energy Methods Within Sobolev Spaces; Regularity For Secondorder Elliptic, Parabolic, And Hyperbolic Equations; Maximum Principles; The Multidimensional Calculus Of Variations; Viscosity Solutions Of Hamiltonjacobi Equations; Shock Waves And Entropy Criteria For Conservation Laws; And Much More.The Author Summarizes The Relevant Mathematics Required To Understand Current Research In Pdes, Especially Nonlinear Pdes. While He Has Reworked And Simplified Much Of The Classical Theory (Particularly The Method Of Characteristics), He Emphasizes The Modern Interplay Between Functional Analytic Insights And Calculustype Estimates Within The Context Of Sobolev Spaces. Treatment Of All Topics Is Complete And Selfcontained. The Book'S Wide Scope And Clear Exposition Make It A Suitable Text For A Graduate Course In Pdes.
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- Q: How many pages does this book have? A: This book has six hundred sixty-two pages. It provides a comprehensive overview of partial differential equations and modern techniques.
- Q: What is the binding type of this book? A: This book is hardcover. The durable binding ensures longevity for academic use.
- Q: What are the dimensions of this book? A: The book measures seven point five two inches in length, one point five inches in width, and ten point five one inches in height.
- Q: Who is the author of this book? A: The author of this book is Lawrence C. Evans. He is well-regarded in the field of mathematics.
- Q: What is the main focus of this book? A: The book focuses on modern techniques in the theoretical study of partial differential equations, especially nonlinear equations.
- Q: Is this book suitable for beginners? A: No, this book is intended for graduate-level studies. It assumes a background in mathematics and PDEs.
- Q: Can I use this book for self-study? A: Yes, this book is self-contained and provides complete treatments of relevant topics, making it suitable for self-study.
- Q: Is this book appropriate for undergraduate students? A: No, it is primarily aimed at graduate students with prior knowledge of differential equations.
- Q: How does this book help understand nonlinear PDEs? A: The book emphasizes the interplay between functional analysis and calculus-type estimates, aiding understanding of nonlinear PDEs.
- Q: What topics are covered in this book? A: Topics include representation formulas, energy methods, regularity for various equations, and viscosity solutions.
- Q: What is the return policy for this book? A: The return policy typically allows returns within thirty days of purchase, provided the book is in good condition.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact customer support for a replacement or refund.
- Q: Is there a warranty on this book? A: No, books generally do not come with a warranty, but customer satisfaction policies apply.
- Q: How should I store this book? A: Store this book upright on a shelf to maintain its shape and protect the binding.
- Q: How do I keep this book in good condition? A: Keep the book away from moisture and direct sunlight to preserve its quality over time.
- Q: Are there any supplementary materials available? A: Yes, additional resources may be available through academic institutions or online platforms for deeper study.