Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II
Atsushi Yagi
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Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
This second volume continues the study on asymptotic convergence of global solutions of parabolic equations to stationary solutions by utilizing the theory of abstract parabolic evolution equations and the Łojasiewicz–Simon gradient inequality. In the first volume of the same title, after setting the abstract frameworks of arguments, a general convergence theorem was proved under the four structural assumptions of critical condition, Lyapunov function, angle condition, and gradient inequality. In this volume, with those abstract results reviewed briefly, their applications to concrete parabolic equations are described.
Kundenbewertungen
Abstract Parabolic Evolution Equations, Keller--Segel Equations, Asymptotic Convergence of Solutions, Semilinear Parabolic Equations, Łojasiewicz--Simon Inequality