@misc{Pawłow_Irena_The_2012,
 author={Pawłow, Irena and Zajączkowski, Wojciech},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2012},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={The paper considers the sixth order Cahn-Hilliard type equation with a nonlinear diffusion. Applying the approach based on the Backlund transfor­mation and the Leray-Schauder fixed point theorem, the existence result was generalized by imposing weaker assumptions on the data. Here the global unique solvability of the problem in the Sobolev space H6,1(Ω x (0,T)) is proved, assuming that the initial data is in H3 (Ω), whereas previously H6 (Ω) -regularity was required. Moreover, a broarder class of nonlinear terms in the free energy potential is admited.},
 type={Text},
 title={The Global Solvability of a Sixth order Cahn-Hilliard Type Equation Via the Backlund Transformation},
 URL={http://www.rcin.org.pl/Content/197696/PDF/RB-2012-09.pdf},
 keywords={Global existence, Globalne istnienie, Sixth order cahn-hilliard type equation with nonlinear diffusion, Równanie typu cahna-hilliarda szóstego rzędu z dyfuzją nieliniową, Bäcklund transformations, Transformacje bäcklunda},
}