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Titlebook: Abstract Parabolic Evolution Equations and ?ojasiewicz–Simon Inequality I; Abstract Theory Atsushi Yagi Book 2021 The Author(s), under excl

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期刊全稱Abstract Parabolic Evolution Equations and ?ojasiewicz–Simon Inequality I
期刊簡稱Abstract Theory
影響因子2023Atsushi Yagi
視頻videohttp://file.papertrans.cn/144/143464/143464.mp4
發(fā)行地址Makes an extended version of the Lojasiewicz–Simon inequality more available to certain concrete problems.Offers a unified method to show asymptotic convergence of solutions for nonlinear parabolic eq
學(xué)科分類SpringerBriefs in Mathematics
圖書封面Titlebook: Abstract Parabolic Evolution Equations and ?ojasiewicz–Simon Inequality I; Abstract Theory Atsushi Yagi Book 2021 The Author(s), under excl
影響因子The classical ?ojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the ?ojasiewicz–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 ?ojasiewicz–Simon gradient inequality..In order to apply the abstract results to a wider class of concrete nonlinear parabolic equations, the usual ?ojasiewicz–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..
Pindex Book 2021
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Front Matterthe commodification of land across India. The authors also examine role of the state in promoting the capitalist transformation in India and continuities and changes emerging in the context of land liberalisation and market-friendly economic reforms.978-981-15-3511-6
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Asymptotic Convergence,ose around the Mediterranean. In both Bedu and settled communities, the mechanism that arose for controlling wealth — whether herds or land or both — was the patrilineal family. The subordinate position of women, which Europeans have sometimes thought of as particularly Islamic, is in fact imposed b
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,?ojasiewicz–Simon Gradient Inequality,de Heimat und schenke deine Freundschaft auch meinen Kindern und Kindeskindern.“ Erfreut gew?hrte er ihr die Bitte und befahl: ?Grabe an dieser Stelle ein wenig im Boden, und du wirst bald erfahren, da? es euer aller Glück bedeutet.“ Kaum hatte sie begonnen, da sprudelte ein wasserreicher Quell herv
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Asymptotic Convergence,igions, Christianity and Islam (three, of course, but Judaism had little impact on Palestinian society before 1948); two cultures, Mediterranean and Arab; two types of economy, settled agriculture and the nomadic pastoralism of the Arabian deserts. Northern Europeans tended, for reasons of historica
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