Lectures on Elliptic and Parabolic Equations in Sobolev Spaces (Graduate Studies in Mathematics)

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9780821846841: Lectures on Elliptic and Parabolic Equations in Sobolev Spaces (Graduate Studies in Mathematics)

This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces. The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. In addition, other boundary-value problems such as the Neumann or oblique derivative problems are briefly covered. As is natural for a textbook, the main emphasis is on organizing well-known ideas in a self-contained exposition. Among the topics included that are not usually covered in a textbook are a relatively recent development concerning equations with $\textsf{VMO}$ coefficients and the study of parabolic equations with coefficients measurable only with respect to the time variable. There are numerous exercises which help the reader better understand the material. After going through the book, the reader will have a good understanding of results available in the modern theory of partial differential equations and the technique used to obtain them. Prerequisites are basics of measure theory, the theory of $L_p$ spaces, and the Fourier transform.

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Review :

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

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N. V. Krylov
Edité par American Mathematical Society (2008)
ISBN 10 : 0821846841 ISBN 13 : 9780821846841
Neuf(s) Couverture rigide Quantité : > 20
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Description du livre American Mathematical Society, 2008. Hardcover. État : New. Brand new. We distribute directly for the publisher. This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces.The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. In addition, other boundary-value problems such as the Neumann or oblique derivative problems are briefly covered. As is natural for a textbook, the main emphasis is on organizing well-known ideas in a self-contained exposition. Among the topics included that are not usually covered in a textbook are a relatively recent development concerning equations with $\textsf{VMO}$ coefficients and the study of parabolic equations with coefficients measurable only with respect to the time variable. There are numerous exercises which help the reader better understand the material.After going through the book, the reader will have a good understanding of results available in the modern theory of partial differential equations and the technique used to obtain them. Prerequisites are basics of measure theory, the theory of $L_p$ spaces, and the Fourier transform. N° de réf. du libraire 1005120126

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N. V. Krylov
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ISBN 10 : 0821846841 ISBN 13 : 9780821846841
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Description du livre American Mathematical Society, United States, 2008. Hardback. État : New. UK ed.. Language: English . Brand New Book. This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces. The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. In addition, other boundary-value problems such as the Neumann or oblique derivative problems are briefly covered. As is natural for a textbook, the main emphasis is on organizing well-known ideas in a self-contained exposition. Among the topics included that are not usually covered in a textbook are a relatively recent development concerning equations with $ textsf{VMO}$ coefficients and the study of parabolic equations with coefficients measurable only with respect to the time variable. There are numerous exercises which help the reader better understand the material. After going through the book, the reader will have a good understanding of results available in the modern theory of partial differential equations and the technique used to obtain them. Prerequesites are basics of measure theory, the theory of $L p$ spaces, and the Fourier transform. N° de réf. du libraire AAN9780821846841

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3.

N. V. Krylov
Edité par American Mathematical Society, United States (2008)
ISBN 10 : 0821846841 ISBN 13 : 9780821846841
Neuf(s) Couverture rigide Quantité : 1
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Description du livre American Mathematical Society, United States, 2008. Hardback. État : New. UK ed.. Language: English . Brand New Book. This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces. The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. In addition, other boundary-value problems such as the Neumann or oblique derivative problems are briefly covered. As is natural for a textbook, the main emphasis is on organizing well-known ideas in a self-contained exposition. Among the topics included that are not usually covered in a textbook are a relatively recent development concerning equations with $ textsf{VMO}$ coefficients and the study of parabolic equations with coefficients measurable only with respect to the time variable. There are numerous exercises which help the reader better understand the material. After going through the book, the reader will have a good understanding of results available in the modern theory of partial differential equations and the technique used to obtain them. Prerequesites are basics of measure theory, the theory of $L p$ spaces, and the Fourier transform. N° de réf. du libraire AAN9780821846841

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ISBN 10 : 0821846841 ISBN 13 : 9780821846841
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Description du livre American Mathematical Society, 2008. Hardcover. État : New. N° de réf. du libraire DADAX0821846841

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Description du livre American Mathematical Society. Hardback. État : new. BRAND NEW, Lectures on Elliptic and Parabolic Equations in Sobolev Spaces, N. V. Krylov, This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces. The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. In addition, other boundary-value problems such as the Neumann or oblique derivative problems are briefly covered. As is natural for a textbook, the main emphasis is on organizing well-known ideas in a self-contained exposition. Among the topics included that are not usually covered in a textbook are a relatively recent development concerning equations with $\textsf{VMO}$ coefficients and the study of parabolic equations with coefficients measurable only with respect to the time variable. There are numerous exercises which help the reader better understand the material. After going through the book, the reader will have a good understanding of results available in the modern theory of partial differential equations and the technique used to obtain them. Prerequesites are basics of measure theory, the theory of $L p$ spaces, and the Fourier transform. N° de réf. du libraire B9780821846841

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Description du livre American Mathematical Society, 2008. Hardcover. État : New. book. N° de réf. du libraire 0821846841

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Description du livre American Mathematical Society, 2008. État : new. Shiny and new! Expect delivery in 20 days. N° de réf. du libraire 9780821846841-1

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Description du livre American Mathematical Society, 2008. Hardcover. État : New. N° de réf. du libraire P110821846841

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Description du livre Amer Mathematical Society, 2008. Hardcover. État : Brand New. 357 pages. 10.00x7.25x1.00 inches. In Stock. N° de réf. du libraire __0821846841

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