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001437144 001__ 1437144
001437144 003__ OCoLC
001437144 005__ 20230309004133.0
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001437144 019__ $$a1253476489$$a1262679365$$a1284938435
001437144 020__ $$a9789811618963$$q(electronic book)
001437144 020__ $$a9811618968$$q(electronic book)
001437144 020__ $$a9789811618970$$q(print)
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001437144 020__ $$z9789811618956$$q(print)
001437144 0247_ $$a10.1007/978-981-16-1896-3$$2doi
001437144 035__ $$aSP(OCoLC)1255228475
001437144 040__ $$aEBLCP$$beng$$erda$$epn$$cEBLCP$$dYDX$$dOCLCO$$dEBLCP$$dYDX$$dOCLCO$$dGW5XE$$dOCLCF$$dVT2$$dUKAHL$$dSFB$$dOCLCO$$dOCLCQ$$dWAU$$dOCLCQ
001437144 049__ $$aISEA
001437144 050_4 $$aQA377.3$$b.Y34 2021
001437144 08204 $$a515/.35$$223
001437144 1001_ $$aYagi, Atsushi,$$d1951-$$eauthor.
001437144 24510 $$aAbstract Parabolic Evolution Equations and Łojasiewicz-Simon Inequality I :$$bAbstract Theory /$$cAtsushi Yagi.
001437144 264_1 $$aSingapore :$$bSpringer Singapore Pte. Limited,$$c[2021]
001437144 300__ $$a1 online resource (68 pages)
001437144 336__ $$atext$$btxt$$2rdacontent
001437144 337__ $$acomputer$$bc$$2rdamedia
001437144 338__ $$aonline resource$$bcr$$2rdacarrier
001437144 347__ $$atext file
001437144 347__ $$bPDF
001437144 4901_ $$aSpringerBriefs in Mathematics
001437144 504__ $$aIncludes bibliographical references and indexes.
001437144 5050_ $$a1. Preliminary -- 2. Asymptotic Convergence -- 3. Extended Łojasiewicz-Simon Gradient Inequality.
001437144 506__ $$aAccess limited to authorized users.
001437144 520__ $$aThe classical Łojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Łojasiewicz-Simon gradient inequality. This book presents a unified method to show asymptotic convergence of solutions to a stationary solution for abstract parabolic evolution equations of the gradient form by utilizing this Łojasiewicz-Simon gradient inequality. In order to apply the abstract results to a wider class of concrete nonlinear parabolic equations, the usual Łojasiewicz-Simon inequality is extended, which is published here for the first time. In the second version, these abstract results are applied to reaction-diffusion equations with discontinuous coefficients, reaction-diffusion systems, and epitaxial growth equations. The results are also applied to the famous chemotaxis model, i.e., the Keller-Segel equations even for higher-dimensional ones.
001437144 588__ $$aOnline resource; title from digital title page (viewed on June 17, 2021).
001437144 650_0 $$aEvolution equations.
001437144 650_0 $$aDifferential equations, Parabolic.
001437144 650_6 $$aÉquations d'évolution.
001437144 650_6 $$aÉquations différentielles paraboliques.
001437144 655_0 $$aElectronic books.
001437144 77608 $$iPrint version:$$aYagi, Atsushi.$$tAbstract Parabolic Evolution Equations and Łojasiewicz-Simon Inequality I.$$dSingapore : Springer Singapore Pte. Limited, ©2021$$z9789811618956
001437144 830_0 $$aSpringerBriefs in mathematics.
001437144 852__ $$bebk
001437144 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-1896-3$$zOnline Access$$91397441.1
001437144 909CO $$ooai:library.usi.edu:1437144$$pGLOBAL_SET
001437144 980__ $$aBIB
001437144 980__ $$aEBOOK
001437144 982__ $$aEbook
001437144 983__ $$aOnline
001437144 994__ $$a92$$bISE