Asymptotic behavior of approximate solutions to evolution equations in Banach spaces

DOI10.4171/ZAA/1386zbMath1179.37108OpenAlexW1976587775MaRDI QIDQ732874

Simeon Reich, Sergiu Aizicovici, Zaslavski, Alexander J.

Publication date: 15 October 2009

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1386

zbMATH Keywords

convex functioninitial value problemgeneric propertydescent methodcomplete uniform space

Mathematics Subject Classification ID

Nonlinear evolution equations (47J35) Infinite-dimensional dissipative dynamical systems (37L99)

Cites Work

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• Most of the successive approximations do converge
• Porosity of the set of divergent descent methods.
• Convergence theorems for continuous descent methods
• Most continuous descent methods converge
• The Set of Divergent Descent Methods in a Banach Space is \boldmath$\sigma$\unboldmath-Porous
• Generic Convergence of Descent Methods in Banach Spaces
• The method of steepest descent for non-linear minimization problems
• Sobolev gradients and differential equations

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