Lebesgue and Sobolev Spaces with Variable Exponents

Lebesgue and Sobolev Spaces with Variable Exponents
Author: Lars Diening
Publisher: Springer
Total Pages: 516
Release: 2011-03-29
Genre: Mathematics
ISBN: 3642183638

The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.

Proceedings of the St. Petersburg Mathematical Society Volume III

Proceedings of the St. Petersburg Mathematical Society Volume III
Author: Olʹga Aleksandrovna Ladyzhenskai︠a︡
Publisher: American Mathematical Soc.
Total Pages: 281
Release: 1995
Genre: Mathematics
ISBN: 0821803875

Books in this series highlight some of the most interesting works presented at symposia sponsored by the St. Petersburg Mathematical Society. Aimed at researchers in number theory, field theory, and algebraic geometry, the present volume deals primarily with aspects of the theory of higher local fields and other types of complete discretely valuated fields. Most of the papers require background in local class field theory and algebraic K-theory; however, two of them, "Unit Fractions" and "Collections of Multiple Sums", would be accessible to undergraduates.

Proceedings of the St. Petersburg Mathematical Society Volume III

Proceedings of the St. Petersburg Mathematical Society Volume III
Author: Ol_ga Aleksandrovna Ladyzhenskai_a
Publisher: American Mathematical Soc.
Total Pages: 284
Release: 1995-06-20
Genre: Mathematics
ISBN: 9780821895962

Books in this series highlight some of the most interesting works presented at symposia sponsored by the St. Petersburg Mathematical Society. Aimed at researchers in number theory, field theory, and algebraic geometry, the present volume deals primarily with aspects of the theory of higher local fields and other types of complete discretely valuated fields. Most of the papers require background in local class field theory and algebraic $K$-theory; however, two of them, ``Unit Fractions'' and ``Collections of Multiple Sums'', would be accessible to undergraduates.

Proceedings of the St. Petersburg Mathematical Society, Volume I

Proceedings of the St. Petersburg Mathematical Society, Volume I
Author: O. A. Ladyzhenskaya Anatoli_ Moiseevich Vershik
Publisher: American Mathematical Soc.
Total Pages: 244
Release: 1993-03-22
Genre: Mathematics
ISBN: 9780821895900

This is the inaugural volume of a new book series published under the auspices of the St. Petersburg Mathematical Society. The book contains contributions by some of the leading mathematicians in St. Petersburg. Ranging over a wide array of topics, these papers testify to the diverse interests and productive mathematical life of the St. Petersburg Mathematical Society.

Proceedings of the St. Petersburg Mathematical Society, Volume XV

Proceedings of the St. Petersburg Mathematical Society, Volume XV
Author: Darya Apushkinskaya
Publisher: American Mathematical Society
Total Pages: 282
Release: 2014-08-22
Genre: Mathematics
ISBN: 1470415518

This book presents the proceedings of the international workshop, "Advances in Mathematical Analysis of Partial Differential Equations" held at the Institut Mittag-Leffler, Stockholm, Sweden, July 9-13, 2012, dedicated to the memory of the outstanding Russian mathematician Olga A. Ladyzhenskaya. The volume contains papers that engage a wide set of modern topics in the theory of linear and nonlinear partial differential equations and applications, including variational and free boundary problems, mathematical problems of hydrodynamics, and magneto-geostrophic equations.

Proceedings of the St. Petersburg Mathematical Society, Volume XIV

Proceedings of the St. Petersburg Mathematical Society, Volume XIV
Author: Sankt-Peterburgskoe matematicheskoe obshchestvo
Publisher: American Mathematical Soc.
Total Pages: 242
Release: 2009
Genre: Mathematics
ISBN: 082184802X

Contains articles on analysis, probability, partial differential operators, frames, and other areas of mathematics. This volume also contains a comprehensive article about the classification of pseudo-regular convex polyhedra. It is suitable for a broad group of graduate students and researchers interested in the topics presented here.