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02352aam a2200337 i 4500 001 407EAD5AAD6711EBBB9470C722ECA4DB 003 SILO 005 20210505010019 008 200812t20202020riu b 001 0 eng 010 $a 2020036612 020 $a 1470461617 020 $a 9781470461614 035 $a (OCoLC)1184122721 040 $a DLC $b eng $e rda $c DLC $d OCLCO $d OCLCF $d YDX $d OCLCO $d SYB $d MTG $d KSU $d AU@ $d GZN $d OCLCO $d IWA $d SILO 042 $a pcc 100 1 $a Hoff, David Charles, $d 1948- $e author. 245 10 $a Linear and quasilinear parabolic systems : $b Sobolev space theory / $c David Hoff. 264 1 $a Providence, Rhode Island : $b American Mathematical Society, $c [2020] 300 $a xi, 226 pages ; $c 26 cm. 490 1 $a Mathematical surveys and monographs, $x 0076-5376 ; $v volume 251 520 $a This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces.--Publisher's information. 504 $a Includes bibliographical references (pages 221-223) and index. 505 1 $a Introduction -- Differential Equations in Hilbert Space -- Linear Parabolic Systems: Basic Theory -- Elliptic Systems: Higher Order Regularity -- Parabolic Systems: Higher Order Regularity -- Applications to Quasilinear Systems -- Appendix: Selected Topics in Analysis. 650 0 $a Differential equations, Partial. 650 0 $a Differential equations, Parabolic. 773 18 $w 990002630680102756 $t Mathematical surveys and monographs. $g no:v. 251 830 0 $a Mathematical surveys and monographs $v v. 251. 941 $a 1 952 $l USUX851 $d 20210505011948.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=407EAD5AAD6711EBBB9470C722ECA4DB 994 $a C0 $b IWAInitiate Another SILO Locator Search