Singular dynamics of strongly damped beam equation
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Publication:1040605
DOI10.1016/j.jde.2009.09.006zbMath1187.35002OpenAlexW2064027785WikidataQ96744697 ScholiaQ96744697MaRDI QIDQ1040605
Krzysztof P. Rybakowski, Aleksander Ćwiszewski
Publication date: 25 November 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2009.09.006
Attractors (35B41) Dynamical systems in solid mechanics (37N15) Perturbations in context of PDEs (35B20) Index theory for dynamical systems, Morse-Conley indices (37B30) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
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Cites Work
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- Morse decompositions in the absence of uniqeness.
- Homology index braids in infinite-dimensional Conley index theory
- Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- The connection matrix theory for semiflows on (not necessarily locally compact) metric spaces
- Geometric theory of semilinear parabolic equations
- The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces
- Strongly damped quasilinear evolution equations
- Conley index continuation for singularly perturbed hyperbolic equations
- Nested sequences of index filtrations and continuation of the connection matrix
- Morse decompositions in the absence of uniqueness. II
- Limiting behavior of strongly damped nonlinear wave equations
- Stability theory for an extensible beam
- Initial-boundary value problems for an extensible beam
- Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions
- On a general Conley index continuation principle for singular perturbation problems
- The Continuation Theory for Morse Decompositions and Connection Matrices
- On the Homotopy Index for Infinite-Dimensional Semiflows
- Continuation of the connection matrix in singular perturbation problems
- Continuation of the connection matrix for singularly perturbed hyperbolic equations
- Isolated Invariant Sets and Isolating Blocks