Stabilization of positive solutions for analytic gradient-like systems

DOI10.3934/dcds.2000.6.947zbMath1021.35018OpenAlexW2055391814MaRDI QIDQ1864075

Peter Takáč

Publication date: 16 March 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2000.6.947

zbMATH Keywords

Lojasiewicz-Simon type inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Applications of operator theory to differential and integral equations (47N20) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (7)

A qualitative study of \((p, q)\) singular parabolic equations: local existence, Sobolev regularity and asymptotic behavior ⋮ A singular parabolic equation: existence, stabilization ⋮ Łojasiewicz-Simon gradient inequalities for analytic and Morse-Bott functions on Banach spaces ⋮ Linearized stability for degenerate and singular semilinear and quasilinear parabolic problems: the linearized singular equation ⋮ Analytic global bifurcation and infinite turning points for very singular problems ⋮ Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions ⋮ Bounded solutions to a quasilinear and singular parabolic equation with \(p\)-Laplacian

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