Regularity problem for quasilinear elliptic and parabolic systems /
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Author / Creator: | Koshelev, A. I. (Aleksandr Ivanovich), 1927- |
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Imprint: | Berlin ; New York : Springer, ©1995. |
Description: | 1 online resource (xxi, 255 pages). |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 1614 Lecture notes in mathematics (Springer-Verlag) ; 1614. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11071329 |
ISBN: | 9783540447726 3540447725 9783540602514 3540602518 |
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Notes: | Includes bibliographical references (pages 248-255). Print version record. |
Summary: | The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on two main ideas: the universal iterative method, and explicit, sometimes sharp, coercivity estimates in weighted spaces. Readers are assumed to have a standard background in analysis and PDEs. |
Other form: | Print version: Koshelev, A.I. (Aleksandr Ivanovich), 1927- Regularity problem for quasilinear elliptic and parabolic systems. Berlin ; New York : Springer, ©1995 3540602518 |
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