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On the renormalization of Hamiltonian flows, and critical invariant tori
Lipschitz continuous solutions of some doubly nonlinear parabolic equations
1.  Department of Applied Physics, School of Science and Engineering, Waseda University, 341, Okubo, Tokyo, 1698555, Japan 
2.  Department of Mathematics and Computer Science, Tsuda College, 211, Tsudachou, Kodairashi, Tokyo, 1878577, Japan 
[1] 
Jiebao Sun, Boying Wu, Jing Li, Dazhi Zhang. A class of doubly degenerate parabolic equations with periodic sources. Discrete and Continuous Dynamical Systems  B, 2010, 14 (3) : 11991210. doi: 10.3934/dcdsb.2010.14.1199 
[2] 
Liangjun Weng. The interior gradient estimate for some nonlinear curvature equations. Communications on Pure and Applied Analysis, 2019, 18 (4) : 16011612. doi: 10.3934/cpaa.2019076 
[3] 
Michiel Bertsch, Roberta Dal Passo, Lorenzo Giacomelli, Giuseppe Tomassetti. A nonlocal and fully nonlinear degenerate parabolic system from straingradient plasticity. Discrete and Continuous Dynamical Systems  B, 2011, 15 (1) : 1543. doi: 10.3934/dcdsb.2011.15.15 
[4] 
Goro Akagi. Doubly nonlinear parabolic equations involving variable exponents. Discrete and Continuous Dynamical Systems  S, 2014, 7 (1) : 116. doi: 10.3934/dcdss.2014.7.1 
[5] 
Laurence Cherfils, Stefania Gatti, Alain Miranville. A doubly nonlinear parabolic equation with a singular potential. Discrete and Continuous Dynamical Systems  S, 2011, 4 (1) : 5166. doi: 10.3934/dcdss.2011.4.51 
[6] 
M. Sango. Weak solutions for a doubly degenerate quasilinear parabolic equation with random forcing. Discrete and Continuous Dynamical Systems  B, 2007, 7 (4) : 885905. doi: 10.3934/dcdsb.2007.7.885 
[7] 
Sachiko Ishida, Yusuke Maeda, Tomomi Yokota. Gradient estimate for solutions to quasilinear nondegenerate KellerSegel systems on $\mathbb{R}^N$. Discrete and Continuous Dynamical Systems  B, 2013, 18 (10) : 25372568. doi: 10.3934/dcdsb.2013.18.2537 
[8] 
Diego Castellaneta, Alberto Farina, Enrico Valdinoci. A pointwise gradient estimate for solutions of singular and degenerate pde's in possibly unbounded domains with nonnegative mean curvature. Communications on Pure and Applied Analysis, 2012, 11 (5) : 19832003. doi: 10.3934/cpaa.2012.11.1983 
[9] 
A. Kh. Khanmamedov. Longtime behaviour of doubly nonlinear parabolic equations. Communications on Pure and Applied Analysis, 2009, 8 (4) : 13731400. doi: 10.3934/cpaa.2009.8.1373 
[10] 
Simona Fornaro, Maria Sosio, Vincenzo Vespri. Harnack type inequalities for some doubly nonlinear singular parabolic equations. Discrete and Continuous Dynamical Systems, 2015, 35 (12) : 59095926. doi: 10.3934/dcds.2015.35.5909 
[11] 
Shun Uchida. Solvability of doubly nonlinear parabolic equation with plaplacian. Evolution Equations and Control Theory, 2022, 11 (3) : 9751000. doi: 10.3934/eect.2021033 
[12] 
Xingwen Hao, Yachun Li, Qin Wang. A kinetic approach to error estimate for nonautonomous anisotropic degenerate parabolichyperbolic equations. Kinetic and Related Models, 2014, 7 (3) : 477492. doi: 10.3934/krm.2014.7.477 
[13] 
Simona Fornaro, Ugo Gianazza. Local properties of nonnegative solutions to some doubly nonlinear degenerate parabolic equations. Discrete and Continuous Dynamical Systems, 2010, 26 (2) : 481492. doi: 10.3934/dcds.2010.26.481 
[14] 
Genni Fragnelli, Paolo Nistri, Duccio Papini. Corrigendum: Nnontrivial nonnegative periodic solutions of a system of doubly degenerate parabolic equations with nonlocal terms. Discrete and Continuous Dynamical Systems, 2013, 33 (8) : 38313834. doi: 10.3934/dcds.2013.33.3831 
[15] 
Genni Fragnelli, Paolo Nistri, Duccio Papini. Nontrivial nonnegative periodic solutions of a system of doubly degenerate parabolic equations with nonlocal terms. Discrete and Continuous Dynamical Systems, 2011, 31 (1) : 3564. doi: 10.3934/dcds.2011.31.35 
[16] 
Takesi Fukao, Masahiro Kubo. Nonlinear degenerate parabolic equations for a thermohydraulic model. Conference Publications, 2007, 2007 (Special) : 399408. doi: 10.3934/proc.2007.2007.399 
[17] 
ChiCheung Poon. Blowup rate of solutions of a degenerate nonlinear parabolic equation. Discrete and Continuous Dynamical Systems  B, 2019, 24 (10) : 53175336. doi: 10.3934/dcdsb.2019060 
[18] 
Changchun Liu. A fourth order nonlinear degenerate parabolic equation. Communications on Pure and Applied Analysis, 2008, 7 (3) : 617630. doi: 10.3934/cpaa.2008.7.617 
[19] 
Noriaki Yamazaki. Doubly nonlinear evolution equations associated with ellipticparabolic free boundary problems. Conference Publications, 2005, 2005 (Special) : 920929. doi: 10.3934/proc.2005.2005.920 
[20] 
Stanislav Antontsev, Michel Chipot, Sergey Shmarev. Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions. Communications on Pure and Applied Analysis, 2013, 12 (4) : 15271546. doi: 10.3934/cpaa.2013.12.1527 
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