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130626  eng 
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a 9780817645526

100 
1 

a DiBenedetto, Emmanuele

245 
0 
0 
a Partial Differential Equations
h Elektronische Ressource
b Second Edition
c by Emmanuele DiBenedetto

250 


a 2nd ed. 2010

260 


a Boston, MA
b Birkhäuser
c 2010, 2010

300 


a XX, 389 p. 19 illus
b online resource

505 
0 

a Preliminaries  QuasiLinear Equations and the Cauchy#x2013;Kowalewski Theorem  The Laplace Equation  Boundary Value Problems by DoubleLayer Potentials  Integral Equations and Eigenvalue Problems  The Heat Equation  The Wave Equation  QuasiLinear Equations of FirstOrder  NonLinear Equations of FirstOrder  Linear Elliptic Equations with Measurable Coefficients  DeGiorgi Classes

653 


a Difference equations

653 


a Integral equations

653 


a Mathematical analysis

653 


a Fourier Analysis

653 


a Calculus of Variations and Optimization

653 


a Functional equations

653 


a Difference and Functional Equations

653 


a Analysis

653 


a Differential Equations

653 


a Mathematical optimization

653 


a Integral Equations

653 


a Calculus of variations

653 


a Differential equations

653 


a Fourier analysis

041 
0 
7 
a eng
2 ISO 6392

989 


b Springer
a Springer eBooks 2005

490 
0 

a Cornerstones

028 
5 
0 
a 10.1007/9780817645526

856 
4 
0 
u https://doi.org/10.1007/9780817645526?nosfx=y
x Verlag
3 Volltext

082 
0 

a 515

520 


a This selfcontained textbook offers an elementary introduction to partial differential equations (PDEs), primarily focusing on linear equations, but also providing a perspective on nonlinear equations, through HamiltonJacobi equations, elliptic equations with measurable coefficients and DeGiorgi classes. The exposition is complemented by examples, problems, and solutions that enhance understanding and explore related directions. Large parts of this revised second edition have been streamlined and rewritten to incorporate years of classroom feedback, correct misprints, and improve clarity. The work can serve as a text for advanced undergraduates and graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference for applied mathematicians and mathematical physicists. The newly added three last chapters, on first order nonlinear PDEs (Chapter 8), quasilinear elliptic equations with measurable coefficients (Chapter 9) and DeGiorgi classes (Chapter 10), point to issues and directions at the forefront of current investigations. Reviews of the first edition: The author's intent is to present an elementary introduction to PDEs... In contrast to other elementary textbooks on PDEs . . . much more material is presented on the three basic equations: Laplace's equation, the heat and wave equations. . . . The presentation is clear and well organized. . . . The text is complemented by numerous exercises and hints to proofs. Mathematical Reviews This is a wellwritten, selfcontained, elementary introduction to linear, partial differential equations. Zentralblatt MATH.
