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OpenAlex Citation Counts

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OpenAlex is a bibliographic catalogue of scientific papers, authors and institutions accessible in open access mode, named after the Library of Alexandria. It's citation coverage is excellent and I hope you will find utility in this listing of citing articles!

If you click the article title, you'll navigate to the article, as listed in CrossRef. If you click the Open Access links, you'll navigate to the "best Open Access location". Clicking the citation count will open this listing for that article. Lastly at the bottom of the page, you'll find basic pagination options.

Requested Article:

A Smooth Center Manifold Theorem which Applies to Some Ill-Posed Partial Differential Equations with Unbounded Nonlinearities
Rafael de la Llave
Journal of Dynamics and Differential Equations (2009) Vol. 21, Iss. 3, pp. 371-415
Closed Access | Times Cited: 26

Showing 1-25 of 26 citing articles:

Computer-Assisted Methods for the Study of Stationary Solutions in Dissipative Systems, Applied to the Kuramoto–Sivashinski Equation
Gianni Arioli, Hans Koch
Archive for Rational Mechanics and Analysis (2010) Vol. 197, Iss. 3, pp. 1033-1051
Closed Access | Times Cited: 83
Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation
Roberto Castelli, Marcio Gameiro, J. Lessard
Archive for Rational Mechanics and Analysis (2017) Vol. 228, Iss. 1, pp. 129-157
Open Access | Times Cited: 33
An A Posteriori KAM Theorem for Whiskered Tori in Hamiltonian Partial Differential Equations with Applications to some Ill-Posed Equations
Rafael de la Llave, Yannick Sire
Archive for Rational Mechanics and Analysis (2018) Vol. 231, Iss. 2, pp. 971-1044
Closed Access | Times Cited: 25
A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations
Jordi-Lluís Figueras, Marcio Gameiro, J. Lessard, et al.
SIAM Journal on Applied Dynamical Systems (2017) Vol. 16, Iss. 2, pp. 1070-1088
Open Access | Times Cited: 25
A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems
Yannick Sire, Rafael de la Llave, Ernest Fontich
Electronic Research Announcements (2009) Vol. 16, pp. 9-22
Open Access | Times Cited: 20
Existence of quasiperiodic solutions of elliptic equations on RN+1 via center manifold and KAM theorems
Peter Poláčik, Darío A. Valdebenito
Journal of Differential Equations (2017) Vol. 262, Iss. 12, pp. 6109-6164
Open Access | Times Cited: 12
Stable manifolds to bounded solutions in possibly ill-posed PDEs
Hongyu Cheng, Rafael de la Llave
Journal of Differential Equations (2019) Vol. 268, Iss. 8, pp. 4830-4899
Open Access | Times Cited: 11
Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors
Fenfen Wang, Rafael de la Llave
SIAM Journal on Mathematical Analysis (2020) Vol. 52, Iss. 4, pp. 3149-3191
Open Access | Times Cited: 11
Regularity of Center Manifolds via the Graph Transform
Björn Sandstede, Thunwa Theerakarn
Journal of Dynamics and Differential Equations (2015) Vol. 27, Iss. 3-4, pp. 989-1006
Closed Access | Times Cited: 10
Stable and unstable manifolds for hyperbolic bi-semigroups
Mohamed Sami ElBialy
Journal of Functional Analysis (2011) Vol. 262, Iss. 5, pp. 2516-2560
Open Access | Times Cited: 9
Temporal boundary value problems in interfacial fluid dynamics
Timur Milgrom, David M. Ambrose
Applicable Analysis (2012) Vol. 92, Iss. 5, pp. 922-948
Closed Access | Times Cited: 7
Response Solution to Ill-Posed Boussinesq Equation with Quasi-Periodic Forcing of Liouvillean Frequency
Fenfen Wang, Hongyu Cheng, Jianguo Si
Journal of Nonlinear Science (2019) Vol. 30, Iss. 2, pp. 657-710
Closed Access | Times Cited: 6
Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE
Jiaqi Yang, Joan Gimeno, Rafael de la Llave
Journal of Differential Equations (2022) Vol. 338, pp. 76-127
Open Access | Times Cited: 4
Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems
Archana Timsina, J. D. Mireles James
Chaos Solitons & Fractals (2022) Vol. 161, pp. 112345-112345
Open Access | Times Cited: 3
The Existence of Partially Localized Periodic–Quasiperiodic Solutions and Related KAM-Type Results for Elliptic Equations on the Entire Space
Peter Poláčik, Darío A. Valdebenito
Journal of Dynamics and Differential Equations (2021) Vol. 34, Iss. 4, pp. 3035-3056
Closed Access | Times Cited: 2
GLOBAL STABLE AND UNSTABLE MANIFOLDS FOR A CLASS OF SEMILINEAR EQUATIONS WITH SECTORIALLY DICHOTOMOUS OPERATOR
Lianwang Deng, Dongmei Xiao
Journal of Applied Analysis & Computation (2019) Vol. 9, Iss. 1, pp. 373-399
Closed Access | Times Cited: 1
Dichotomous solutions for semilinear ill-posed equations with sectorially dichotomous operator
Lianwang Deng, Dongmei Xiao
Journal of Differential Equations (2019) Vol. 267, Iss. 2, pp. 1201-1246
Open Access | Times Cited: 1
Invariant manifolds of partially normally hyperbolic invariant manifolds in Banach spaces
Deliang Chen
arXiv (Cornell University) (2019)
Open Access | Times Cited: 1
Response solutions to quasi-periodically forced systems, even to possibly ill-posed PDEs, with strong dissipation and any frequency vectors
Fenfen Wang, Rafael de la Llave
arXiv (Cornell University) (2019)
Open Access | Times Cited: 1
Existence and regularity of invariant graphs for cocycles in bundles: partial hyperbolicity case
Deliang Chen
Dissertationes Mathematicae (2020) Vol. 555, pp. 1-176
Open Access | Times Cited: 1
The existence of solutions for nonlinear elliptic equations: Simple proofs and extensions of a paper by Y. Shi
Xiaodan Xu, Rafael de la Llave, Fenfen Wang
Journal of Differential Equations (2022) Vol. 318, pp. 20-57
Open Access | Times Cited: 1
A Framework for the Numerical Computation and a Posteriori Verification of Invariant Objects of Evolution Equations
Jordi-Lluís Figueras, Marcio Gameiro, Jean Lessard, et al.
arXiv (Cornell University) (2016)
Closed Access
Remarks on the complex Euler equations
Dallas Albritton, W. Jacob Ogden
Communications on Pure & Applied Analysis (2023) Vol. 23, Iss. 10, pp. 1407-1422
Open Access
The exponential dichotomy and invariant manifolds for some classes of differential equations
Deliang Chen
arXiv (Cornell University) (2019)
Closed Access
The existence of partially localized periodic-quasiperiodic solutions and related KAM-type results for elliptic equations on the entire space
Peter Poláčik, Darío A. Valdebenito
arXiv (Cornell University) (2020)
Closed Access
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