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Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I: Abstract Theory (SpringerBriefs in Mathematics) - Softcover
- PublisherSpringer
- Publication date2021
- ISBN 10 981161895X
- ISBN 13 9789811618956
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages71
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Abstract Parabolic Evolution Equations and ?ojasiewicz-Simon Inequality I: Abstract Theory (SpringerBriefs in Mathematics)
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Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I: Abstract Theory (SpringerBriefs in Mathematics)
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Abstract Parabolic Evolution Equations and ?ojasiewicz?Simon Inequality I: Abstract Theory (SpringerBriefs in Mathematics) 1st ed. 2021 Edition
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Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I
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Springer Nature Singapore Jun 2021, 2021
ISBN 10: 981161895X
ISBN 13: 9789811618956
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Taschenbuch
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The classical Lojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Lojasiewicz-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 Lojasiewicz-Simon gradient inequality.In order to apply the abstract results to a wider class of concrete nonlinear parabolic equations, the usual Lojasiewicz-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. 61 pp. Englisch. Seller Inventory # 9789811618956
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Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I : Abstract Theory
Published by
Springer Nature Singapore, 2021
ISBN 10: 981161895X
ISBN 13: 9789811618956
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Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The classical Lojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Lojasiewicz-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 Lojasiewicz-Simon gradient inequality.In order to apply the abstract results to a wider class of concrete nonlinear parabolic equations, the usual Lojasiewicz-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. Seller Inventory # 9789811618956
Quantity: 2 available