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Author:   N. V. Krylov
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   96
ISBN:  

9781470479787

ISBN 10:   1470479788
Pages:   357
Publication Date:   30 December 2008
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Chapters Chapter 1. Second-order elliptic equations in $W^{2}_{2}(\mathbb {R}^{d})$ Chapter 2. Second-order parabolic equations in $W^{1,k}_{2}(\mathbb {R}^{d+1})$ Chapter 3. Some tools from real analysis Chapter 4. Basic $\mathcal {L}_{p}$-estimates for parabolic and elliptic equations Chapter 5. Parabolic and elliptic equations in $W^{1,k}_{p}$ and $W^{k}_{p}$ Chapter 6. Equations with VMO coefficients Chapter 7. Parabolic equations with VMO coefficients in spaces with mixed norms Chapter 8. Second-order elliptic equations in $W^{2}_{p}(\Omega )$ Chapter 9. Second-order elliptic equations in $W^{k}_{p}(\Omega )$ Chapter 10. Sobolev embedding theorems for $W^{k}_{p}(\Omega )$ Chapter 11. Second-order elliptic equations $Lu-\lambda u=f$ with $\lambda $ small Chapter 12. Fourier transform and elliptic operators Chapter 13. Elliptic operators and the spaces $H^{\gamma }_{p}$

Reviews

This book is certain to become a source of inspiration for every researcher in nonlinear analysis. [The book] is beautifully written and well organized, and I strongly recommend this book to anyone seeking a stylish, balanced, up-to-date survey of this central area of the modern nonlinear analysis."""" - Mathematical Reviews

Author Information

N. V. Krylov, University of Minnesota, Minneapolis, MN.

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