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APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS - MaRDI portal

APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS (Q3646143)

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Language	Label	Description	Also known as
English	APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS	scientific article

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scholarly article

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APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS (English)

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Mohamed Ali Jendoubi

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Analysis and Applications

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publication date

19 November 2009

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zbMATH Keywords

gradient-like evolution equation

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Lojasiewicz-Simon inequality

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stabilization

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MaRDI profile type

MaRDI publication profile

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A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.

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On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations

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CONVERGENCE TO EQUILIBRIUM FOR SEMILINEAR PARABOLIC PROBLEMS IN

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Convergence of global and bounded solutions of a second order gradient like system with nonlinear dissipation and analytic nonlinearity

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Convergence of global and bounded solutions of the wave equation with nonlinear dissipation and analytic nonlinearity

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On the Łojasiewicz--Simon gradient inequality.

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Convergence to steady states of solutions of semilinear evolutionary integral equations

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Convergence to steady states of solutions of non-autonomous heat equations in \(\mathbb R^N\)

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Long-time behavior and convergence for semilinear wave equations on \(\mathbb{R}^ N\)

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Elliptic partial differential equations of second order

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Convergence of solutions to second-order gradient-like systems with analytic nonlinearities

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Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity

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Rate of decay to equilibrium in some semilinear parabolic equations.

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Convergence of global and bounded solutions of the wave equation with linear dissipation and analytic nonlinearity

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A simple unified approach to some convergence theorems of L. Simon

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A remark on the convergence of global and bounded solutions for a semilinear wave equation on \(\mathbb R^N\)

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Sobolev gradients and differential equations

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Locating the peaks of least-energy solutions to a semilinear Neumann problem

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Nonconvergent bounded trajectories in semilinear heat equations

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Asymptotics for a class of non-linear evolution equations, with applications to geometric problems

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Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces

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full work available at URL

https://doi.org/10.1142/s0219530509001438

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Identifiers

zbMATH Open document ID

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10.1142/S0219530509001438

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3646143

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