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Abstract Parabolic Evolution Equations and Lojasiewicz-simon Inequality: Abstract Theory - Couverture souple
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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.
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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
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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 ?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 : Abstract Theory
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9789811618956
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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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ISBN 10 : 981161895X
ISBN 13 : 9789811618956
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Abstract Parabolic Evolution Equations and Lojasiewicz-Simon Inequality I
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ISBN 13 : 9789811618956
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9789811618956
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Abstract Parabolic Evolution Equations and ?ojasiewicz-Simon Inequality I: Abstract Theory (SpringerBriefs in Mathematics)
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