A problem with mixed boundary conditions for a quasilinear parabolic equation

1983 ◽  
Vol 34 (3) ◽  
pp. 683-687
Author(s):  
R. Ya. Glagoleva
Keyword(s):  
Parabolic Equation ◽  
Boundary Conditions ◽  
Mixed Boundary ◽  
Quasilinear Parabolic Equation ◽  
Mixed Boundary Conditions ◽  
Quasilinear Parabolic

Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions

Analysis ◽  
2015 ◽  
Vol 35 (4) ◽  
Author(s):  
Karoline Disser
Keyword(s):  
Boundary Conditions ◽  
Parabolic System ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Well Posedness ◽  
System Of Equations ◽  
Quasilinear Parabolic System ◽  
Interface Diffusion ◽  
Quasilinear Parabolic ◽  
Parabolic System Of Equations

AbstractIn this paper, we consider a quasilinear parabolic system of equations describing coupled bulk and interface diffusion, including mixed boundary conditions. The setting naturally includes non-smooth domains Ω. We show local well-posedness using maximal

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