This volume is dedicated to the centenary of the outstanding mathematician of the 20th century, Sergey Sobolev, and, in a sense, to his celebrated work On a theorem of functional analysis, published in 1938, exactly 70 years ago, was where the original Sobolev inequality was proved. This double event is a good occasion to gather experts for presenting the latest results on the study of Sobolev inequalities, which play a fundamental role in analysis, the theory of partial differential equations, mathematical physics, and differential geometry. In particular, the following topics are discussed: Sobolev-type inequalities on manifolds and metric measure spaces, traces, inequalities with weights, unfamiliar settings of Sobolev type inequalities, Sobolev mappings between manifolds and vector spaces, properties of maximal functions in Sobolev spaces, the sharpness of constants in inequalities, etc.
The volume opens with a nice survey reminiscence, "My Love Affair with the Sobolev Inequality," by David R. Adams.
Or split into 4x interest-free payments of 25% on orders over R50
Learn more
This volume is dedicated to the centenary of the outstanding mathematician of the 20th century, Sergey Sobolev, and, in a sense, to his celebrated work On a theorem of functional analysis, published in 1938, exactly 70 years ago, was where the original Sobolev inequality was proved. This double event is a good occasion to gather experts for presenting the latest results on the study of Sobolev inequalities, which play a fundamental role in analysis, the theory of partial differential equations, mathematical physics, and differential geometry. In particular, the following topics are discussed: Sobolev-type inequalities on manifolds and metric measure spaces, traces, inequalities with weights, unfamiliar settings of Sobolev type inequalities, Sobolev mappings between manifolds and vector spaces, properties of maximal functions in Sobolev spaces, the sharpness of constants in inequalities, etc.
The volume opens with a nice survey reminiscence, "My Love Affair with the Sobolev Inequality," by David R. Adams.
Imprint | Springer-Verlag New York |
Country of origin | United States |
Series | International Mathematical Series, 8 |
Release date | November 2010 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2009 |
Editors | Vladimir Maz'ya |
Dimensions | 235 x 155 x 21mm (L x W x T) |
Format | Paperback |
Pages | 378 |
Edition | Softcover reprint of hardcover 1st ed. 2009 |
ISBN-13 | 978-1-4419-2757-6 |
Barcode | 9781441927576 |
Categories | |
LSN | 1-4419-2757-3 |