Erhältlich:
Nicht auf Lager
Buch (Softcover): Fachbuch
Abstract Parabolic Evolution Equations and ¿ojasiewicz-Simon Inequality I
Abstract Theory
Verlag:
Springer Nature B.V. Unsere-Artikel-Nr.: P35725174
EAN: 9789811618956
Erhältlich:
Nicht auf Lager
Zustellung: Fr, 23.10.2026
Versand: Kostenlos
CHF 56.–
Beschreibung
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.
Spezifikationen
Sprache
- Englisch
Autor
- Atsushi Yagi
Erscheinungsjahr
- 2021
Format
- Buch (Softcover)
Anzahl Seiten
- 72