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New maximum principles for fully nonlinear ODEs of second order
Rates of convergence towards the boundary of a selfsimilar set
1.  Department of Mathematics, University of St. Andrews, St. Andrews, Fife KY16 9SS, United Kingdom 
[1] 
Krzysztof Barański. Hausdorff dimension of selfaffine limit sets with an invariant direction. Discrete & Continuous Dynamical Systems  A, 2008, 21 (4) : 10151023. doi: 10.3934/dcds.2008.21.1015 
[2] 
Weronika Biedrzycka, Marta TyranKamińska. Selfsimilar solutions of fragmentation equations revisited. Discrete & Continuous Dynamical Systems  B, 2018, 23 (1) : 1327. doi: 10.3934/dcdsb.2018002 
[3] 
Marco Cannone, Grzegorz Karch. On selfsimilar solutions to the homogeneous Boltzmann equation. Kinetic & Related Models, 2013, 6 (4) : 801808. doi: 10.3934/krm.2013.6.801 
[4] 
Rostislav Grigorchuk, Volodymyr Nekrashevych. Selfsimilar groups, operator algebras and Schur complement. Journal of Modern Dynamics, 2007, 1 (3) : 323370. doi: 10.3934/jmd.2007.1.323 
[5] 
Christoph Bandt, Helena PeÑa. Polynomial approximation of selfsimilar measures and the spectrum of the transfer operator. Discrete & Continuous Dynamical Systems  A, 2017, 37 (9) : 46114623. doi: 10.3934/dcds.2017198 
[6] 
Anna Chiara Lai, Paola Loreti. Selfsimilar control systems and applications to zygodactyl bird's foot. Networks & Heterogeneous Media, 2015, 10 (2) : 401419. doi: 10.3934/nhm.2015.10.401 
[7] 
D. G. Aronson. Selfsimilar focusing in porous media: An explicit calculation. Discrete & Continuous Dynamical Systems  B, 2012, 17 (6) : 16851691. doi: 10.3934/dcdsb.2012.17.1685 
[8] 
G. A. Braga, Frederico Furtado, Vincenzo Isaia. Renormalization group calculation of asymptotically selfsimilar dynamics. Conference Publications, 2005, 2005 (Special) : 131141. doi: 10.3934/proc.2005.2005.131 
[9] 
Qiaolin He. Numerical simulation and selfsimilar analysis of singular solutions of Prandtl equations. Discrete & Continuous Dynamical Systems  B, 2010, 13 (1) : 101116. doi: 10.3934/dcdsb.2010.13.101 
[10] 
F. Berezovskaya, G. Karev. Bifurcations of selfsimilar solutions of the FokkerPlank equations. Conference Publications, 2005, 2005 (Special) : 9199. doi: 10.3934/proc.2005.2005.91 
[11] 
Bendong Lou. Selfsimilar solutions in a sector for a quasilinear parabolic equation. Networks & Heterogeneous Media, 2012, 7 (4) : 857879. doi: 10.3934/nhm.2012.7.857 
[12] 
Shota Sato, Eiji Yanagida. Singular backward selfsimilar solutions of a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  S, 2011, 4 (4) : 897906. doi: 10.3934/dcdss.2011.4.897 
[13] 
Shota Sato, Eiji Yanagida. Forward selfsimilar solution with a moving singularity for a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  A, 2010, 26 (1) : 313331. doi: 10.3934/dcds.2010.26.313 
[14] 
Marek Fila, Michael Winkler, Eiji Yanagida. Convergence to selfsimilar solutions for a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  A, 2008, 21 (3) : 703716. doi: 10.3934/dcds.2008.21.703 
[15] 
Hyungjin Huh. Selfsimilar solutions to nonlinear Dirac equations and an application to nonuniqueness. Evolution Equations & Control Theory, 2018, 7 (1) : 5360. doi: 10.3934/eect.2018003 
[16] 
Kin Ming Hui. Existence of selfsimilar solutions of the inverse mean curvature flow. Discrete & Continuous Dynamical Systems  A, 2019, 39 (2) : 863880. doi: 10.3934/dcds.2019036 
[17] 
Luis Barreira and Jorg Schmeling. Invariant sets with zero measure and full Hausdorff dimension. Electronic Research Announcements, 1997, 3: 114118. 
[18] 
Krzysztof Barański, Michał Wardal. On the Hausdorff dimension of the Sierpiński Julia sets. Discrete & Continuous Dynamical Systems  A, 2015, 35 (8) : 32933313. doi: 10.3934/dcds.2015.35.3293 
[19] 
Manuel FernándezMartínez, Miguel Ángel López Guerrero. Generating prefractals to approach real IFSattractors with a fixed Hausdorff dimension. Discrete & Continuous Dynamical Systems  S, 2015, 8 (6) : 11291137. doi: 10.3934/dcdss.2015.8.1129 
[20] 
Markus Böhm, Björn Schmalfuss. Bounds on the Hausdorff dimension of random attractors for infinitedimensional random dynamical systems on fractals. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 31153138. doi: 10.3934/dcdsb.2018303 
2017 Impact Factor: 1.179
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