Elliptic Equations: An Introductory Course - Chipot Michel | Libro Birkhäuser 02/2009 - HOEPLI.it

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chipot michel - elliptic equations: an introductory course

Elliptic Equations: An Introductory Course AN INTRODUCTORY COURSE

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Lingua: Inglese


Pubblicazione: 02/2009
Edizione: 2009


Preface.- I. Basic techniques.- 1. Hilbert space techniques.- 2. A survey of essential analysis.- 3. Weak formulation of elliptic problems.- 4. Elliptic problems in divergence form.- 5. Singular perturbation problems.- 6. Problems in large cylinders.- 7. Periodic problems.- 8. Homogenization.- 9. Eigenvalues.- 10. Numerical computations.- II. More advanced theory.- 11. Nonlinear problems.- 12. L(infinity)-estimates.- 13. Linear elliptic systems.- 14. The stationary Navier–Stokes system.- 15. Some more spaces.- 16. Regularity theory.- 17. The p-Laplace equation.- 18. The strong maximum principle.- 19. Problems in the whole space.- A. Fixed point theorems.- Bibliography.- Index.


The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and refinements. Apart from the basic theory of equations in divergence form it includes subjects such as singular perturbation problems, homogenization, computations, asymptotic behaviour of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes system, p-Laplace equation. Just a minimum on Sobolev spaces has been introduced, and work or integration on the boundary has been carefully avoided to keep the reader's attention on the beauty and variety of these issues.

The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original and have not been published elsewhere. The book will be of interest to graduate students and faculty members specializing in partial differential equations.

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Condizione: Nuovo
Collana: Birkhäuser Advanced Texts Basler Lehrbücher
Dimensioni: 244 x 170 mm Ø 709 gr
Formato: Copertina rigida
Pagine Arabe: 290
Pagine Romane: ix

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