Partial Differential Equations
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Beschreibung
This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The “Problems and Complements” sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students.
Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can alsoserve as a useful tool for more experienced readers who are looking for a comprehensive reference.Provides a self-contained introduction to the classical theory of partial differential equations (PDEs) Expands on the Second Edition with five new chapters, as well as new exercises and examples Examines how the classical approach to PDEs connects to cutting-edge research and the modeling of physical phenomena
Autor*in
Emmanuele DiBenedetto
Themen in »Partial Differential Equations«
Partial Differential Equations Partial differential equations PDEs Green's Theorem Quasi-Linear Equations Laplace equation Boundary value problems Integral equations Heat equation Wave equation Nonlinear equations Linear elliptic equations Linear parabolic equations DeGiorgi classes Parabolic DeGiorgi classes
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“This is the third edition of a book In this third edition a good deal of new and more advanced material has been added ... . From edition to edition, this book has evolved into a rather specialized text. It is likely to be of more interest now to specialists than students new to the study of PDEs.” (Bill Satzer, MAA Reviews, February 29, 2024)
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