Immediate Regularization after Blow-up. - Marek Fila; Hiroshi Matano; Peter Polácik (SIAM J. Math. Anal., 2005)

Convergence to a singular steady state of a parabolic equation with gradient blow-up. - Marek Fila; Jari Taskinen; Michael Winkler (Appl. Math. Lett., 2007)

Backward selfsimilar solutions of supercritical parabolic equations. - Marek Fila; Aappo Pulkkinen (Appl. Math. Lett., 2009)

Stabilization of solutions of a semilinear parabolic equation modelling quorum sensing in a biofilm. - Marek Fila; Michael Winkler (Asymptot. Anal., 2009)

Grow up and slow decay in the critical Sobolev case. - Marek Fila; John R. King (Networks Heterog. Media, 2012)

Large-time behavior of small solutions of a two-dimensional semilinear elliptic equation with a dynamical boundary condition. - Marek Fila; Kazuhiro Ishige; Tatsuki Kawakami (Asymptot. Anal., 2013)

Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent. - Marek Fila; John R. King; Michael Winkler (J. Lond. Math. Soc., 2014)

Slow growth of solutions of superfast diffusion equations with unbounded initial data. - Marek Fila; Michael Winkler (J. Lond. Math. Soc., 2017)

Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition. - Marek Fila; Kazuhiro Ishige; Tatsuki Kawakami; Johannes Lankeit (Asymptot. Anal., 2019)