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A First Course in Sobolev Spaces
Language: en
Pages: 626
Authors: Giovanni Leoni
Categories: Sobolev spaces
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

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Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking
Functional Analysis, Sobolev Spaces and Partial Differential Equations
Language: en
Pages: 600
Authors: Haim Brezis
Categories: Mathematics
Type: BOOK - Published: 2010-11-02 - Publisher: Springer Science & Business Media

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This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of
Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
Language: en
Pages: 377
Authors: Nikolaĭ Vladimirovich Krylov
Categories: Differential equations, Elliptic
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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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
Lectures on Elliptic and Parabolic Equations in Hölder Spaces
Language: en
Pages: 164
Authors: Nikolaĭ Vladimirovich Krylov
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

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These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in H older spaces. Krylov shows that this theory - in
Lebesgue and Sobolev Spaces with Variable Exponents
Language: en
Pages: 509
Authors: Lars Diening
Categories: Mathematics
Type: BOOK - Published: 2011-03-29 - Publisher: Springer

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The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already