Marek Fila

Publication Activity (10 Years)

Years Active: 2005-2019
Publications (10 Years): 2

Top Topics

Boundary Conditions

Diffusion Equation

Top Venues

J. Lond. Math. Soc.

Asymptot. Anal.

Networks Heterog. Media

Publications

Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami, Johannes Lankeit
Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition. Asymptot. Anal. 114 (1-2) (2019)
Marek Fila, Michael Winkler
Slow growth of solutions of superfast diffusion equations with unbounded initial data. J. Lond. Math. Soc. 95 (2) (2017)
Marek Fila, John R. King, Michael Winkler
Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent. J. Lond. Math. Soc. 90 (1) (2014)
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami
Large-time behavior of small solutions of a two-dimensional semilinear elliptic equation with a dynamical boundary condition. Asymptot. Anal. 85 (1-2) (2013)
Marek Fila, John R. King
Grow up and slow decay in the critical Sobolev case. Networks Heterog. Media 7 (4) (2012)
Marek Fila, Aappo Pulkkinen
Backward selfsimilar solutions of supercritical parabolic equations. Appl. Math. Lett. 22 (6) (2009)
Marek Fila, Michael Winkler
Stabilization of solutions of a semilinear parabolic equation modelling quorum sensing in a biofilm. Asymptot. Anal. 62 (1-2) (2009)
Marek Fila, Jari Taskinen, Michael Winkler
Convergence to a singular steady state of a parabolic equation with gradient blow-up. Appl. Math. Lett. 20 (5) (2007)
Marek Fila, Hiroshi Matano, Peter Polácik
Immediate Regularization after Blow-up. SIAM J. Math. Anal. 37 (3) (2005)