@incollection{Calabi1982,
  author = {Calabi, Eugenio},
  title = {Extremal {K}\"ahler metrics},
  booktitle = {Seminar on Differential Geometry},
  series = {Annals of Mathematics Studies},
  volume = {102},
  publisher = {Princeton University Press},
  address = {Princeton, NJ},
  year = {1982},
  pages = {259--290}
}
@article{Chen2001,
  author = {Chen, Xiuxiong},
  title = {{Calabi} flow in {Riemann} surfaces revisited: a new point of view},
  journal = {International Mathematics Research Notices},
  year = {2001},
  volume = {2001},
  number = {6},
  pages = {275--297},
  note = {\href{https://doi.org/10.1155/S1073792801000149}{doi:10.1155/S1073792801000149}}
}
@article{ChenHe2008,
  author = {Chen, Xiuxiong and He, Weiyong},
  title = {On the {Calabi} flow},
  journal = {American Journal of Mathematics},
  volume = {130},
  number = {2},
  year = {2008},
  pages = {539--570},
  note = {\href{https://arxiv.org/abs/math/0603523}{arXiv:math/0603523}}
}
@article{HeZeng2021,
  author = {He, Weiyong and Zeng, Yu},
  title = {The {Calabi} flow with rough initial data},
  journal = {International Mathematics Research Notices},
  year = {2021},
  volume = {2021},
  number = {10},
  pages = {7470--7551},
  note = {\href{https://doi.org/10.1093/imrn/rnz050}{doi:10.1093/imrn/rnz050}}
}
@article{DongZhang2015,
  author = {Dong, Hongjie and Zhang, Hong},
  title = {Schauder estimates for higher-order parabolic systems with time irregular coefficients},
  journal = {Calculus of Variations and Partial Differential Equations},
  volume = {54},
  number = {1},
  year = {2015},
  pages = {47--74},
  note = {\href{https://doi.org/10.1007/s00526-014-0777-y}{doi:10.1007/s00526-014-0777-y}}
}
@article{Guan2007,
  author = {Guan, Daniel},
  title = {Extremal solitons and exponential {$C^\infty$} convergence of the modified {Calabi} flow on certain {$\mathbb{CP}^1$} bundles},
  journal = {Pacific Journal of Mathematics},
  volume = {233},
  number = {1},
  year = {2007},
  pages = {91--124},
  note = {\href{https://msp.org/pjm/2007/233-1/pjm-v233-n1-p05-s.pdf}{Publisher's full text}}
}
@article{BermanDarvasLu2017,
  author = {Berman, Robert J. and Darvas, Tam{\'a}s and Lu, Chinh H.},
  title = {Convexity of the extended {$K$}-energy and the large time behavior of the weak {Calabi} flow},
  journal = {Geometry \& Topology},
  volume = {21},
  number = {5},
  year = {2017},
  pages = {2945--2988},
  note = {\href{https://doi.org/10.2140/gt.2017.21.2945}{doi:10.2140/gt.2017.21.2945}}
}
@misc{LiZhangZheng2024,
  author = {Li, Haozhao and Zhang, Linwei and Zheng, Kai},
  title = {{Calabi} flow with bounded {$L^p$} scalar curvature},
  year = {2024},
  note = {\href{https://arxiv.org/abs/2312.05816v2}{arXiv:2312.05816v2}}
}
@misc{LiZhang2025,
  author = {Li, Haozhao and Zhang, Linwei},
  title = {{Calabi} flow with bounded {$L^p$} scalar curvature ({II})},
  year = {2025},
  note = {\href{https://arxiv.org/abs/2510.14302v2}{arXiv:2510.14302v2}}
}

@book{Kato1995,
  author = {Kato, Tosio},
  title = {Perturbation Theory for Linear Operators},
  edition = {Second},
  series = {Classics in Mathematics},
  publisher = {Springer},
  address = {Berlin},
  year = {1995},
  note = {\href{https://doi.org/10.1007/978-3-642-66282-9}{doi:10.1007/978-3-642-66282-9}}
}

@misc{Huang2026,
  author = {Huang, Hong},
  title = {The {Cauchy} problem for fully nonlinear parabolic systems on manifolds},
  year = {2026},
  note = {Version 8, 25 August 2026; \href{https://arxiv.org/abs/1506.05030v8}{arXiv:1506.05030v8}}
}
@article{Hormander1961,
  author = {H{\"o}rmander, Lars},
  title = {Hypoelliptic differential operators},
  journal = {Annales de l'Institut Fourier},
  volume = {11},
  year = {1961},
  pages = {477--492},
  note = {\href{https://doi.org/10.5802/aif.117}{doi:10.5802/aif.117}}
}

@article{Calabi1979,
  author = {Calabi, Eugenio},
  title = {M\'etriques k\"ahl\'eriennes et fibr\'es holomorphes},
  journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
  series = {4},
  volume = {12},
  number = {2},
  year = {1979},
  pages = {269--294},
  note = {\href{https://doi.org/10.24033/asens.1367}{doi:10.24033/asens.1367}}
}
@article{HwangSinger2002,
  author = {Hwang, Andrew D. and Singer, Michael A.},
  title = {A momentum construction for circle-invariant {K}\"ahler metrics},
  journal = {Transactions of the American Mathematical Society},
  volume = {354},
  number = {6},
  year = {2002},
  pages = {2285--2325},
  note = {\href{https://doi.org/10.1090/S0002-9947-02-02965-3}{doi:10.1090/S0002-9947-02-02965-3}}
}
@article{Guillemin1994,
  author = {Guillemin, Victor},
  title = {Kaehler structures on toric varieties},
  journal = {Journal of Differential Geometry},
  volume = {40},
  number = {2},
  year = {1994},
  pages = {285--309},
  note = {\href{https://doi.org/10.4310/jdg/1214455538}{doi:10.4310/jdg/1214455538}}
}
@article{Abreu1998,
  author = {Abreu, Miguel},
  title = {{K}\"ahler geometry of toric varieties and extremal metrics},
  journal = {International Journal of Mathematics},
  volume = {9},
  year = {1998},
  pages = {641--651},
  note = {\href{https://doi.org/10.1142/S0129167X98000282}{doi:10.1142/S0129167X98000282}}
}
@article{Chrusciel1991,
  author = {Chru{\'s}ciel, Piotr T.},
  title = {Semi-global existence and convergence of solutions of the
           {Robinson--Trautman} (2-dimensional {Calabi}) equation},
  journal = {Communications in Mathematical Physics},
  volume = {137},
  year = {1991},
  pages = {289--313}
}
@article{Struwe2002,
  author = {Struwe, Michael},
  title = {Curvature flows on surfaces},
  journal = {Annali della Scuola Normale Superiore di Pisa, Classe di Scienze},
  series = {5},
  volume = {1},
  number = {2},
  year = {2002},
  pages = {247--274},
  note = {\href{https://www.numdam.org/item/ASNSP_2002_5_1_2_247_0/}{Publisher archive}}
}
@article{ChenCheng2021,
  author = {Chen, Xiuxiong and Cheng, Jingrui},
  title = {On the constant scalar curvature {K}\"ahler metrics ({I})---{A} priori estimates},
  journal = {Journal of the American Mathematical Society},
  volume = {34},
  number = {4},
  year = {2021},
  pages = {909--936},
  note = {\href{https://doi.org/10.1090/jams/967}{doi:10.1090/jams/967}}
}

@article{NedialkovJacksonCorliss1999,
  author = {Nedialkov, N. S. and Jackson, K. R. and Corliss, G. F.},
  title = {Validated solutions of initial value problems for ordinary differential equations},
  journal = {Applied Mathematics and Computation},
  volume = {105},
  number = {1},
  year = {1999},
  pages = {21--68},
  note = {\href{https://doi.org/10.1016/S0096-3003(98)10083-8}{doi:10.1016/S0096-3003(98)10083-8}}
}

@article{Streets2014,
  author = {Streets, Jeffrey},
  title = {Long time existence of minimizing movement solutions of {Calabi} flow},
  journal = {Advances in Mathematics},
  volume = {259},
  year = {2014},
  pages = {688--729},
  note = {\href{https://doi.org/10.1016/j.aim.2014.03.027}{doi:10.1016/j.aim.2014.03.027}}
}