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The Global Solvability of a Sixth order Cahn-Hilliard Type Equation Via the Backlund Transformation
Subtitle:Raport Badawczy = Research Report ; RB/9/2012
Creator:Pawłow, Irena ; Zajączkowski, Wojciech
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:24 stron ; 21 cm ; Bibliografia s. 24
Subject and 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
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.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
Terms of use:Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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