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: What is the main focus of 'Partial Differential Equations' by Lawrence C. Evans? A: The book provides a comprehensive survey of modern techniques in the theoretical study of partial differential equations (PDEs), particularly emphasizing nonlinear equations.
- Q: How is the content of the book structured? A: The exposition is divided into three parts: representation formulas for solutions, theory for linear partial differential equations, and theory for nonlinear partial differential equations.
- Q: What are some key topics covered in this book? A: Key topics include the method of characteristics, energy methods within Sobolev spaces, regularity for second-order equations, maximum principles, viscosity solutions, and shock waves.
- Q: Is this book suitable for graduate-level study? A: Yes, the book's wide scope and clear exposition make it an appropriate text for a graduate course in partial differential equations.
- Q: What edition of the book is available? A: This is the First Edition of 'Partial Differential Equations'.
- Q: What type of binding does the book have? A: The book is available in hardcover binding.
- Q: How many pages does the book contain? A: The book contains 662 pages.
- Q: Who is the author of 'Partial Differential Equations'? A: The author of the book is Lawrence C. Evans.
- Q: When was this book published? A: The book was published on June 1, 1998.
- Q: What condition is the used book in? A: The book is listed as 'Used Book in Good Condition', indicating it may show some signs of wear but is still fully functional.