scholarly journals Pullback attractors for non-autonomous quasi-linear parabolic equations with dynamical boundary conditions

2012 ◽  
Vol 17 (7) ◽  
pp. 2635-2651 ◽  
Author(s):  
Lu Yang ◽  
◽  
Meihua Yang ◽  
Peter E. Kloeden ◽  
◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Parabolic Equations ◽  
Pullback Attractors ◽  
Linear Parabolic Equations ◽  
Dynamical Boundary Conditions

scholarly journals Linear parabolic equations with venttsel initial boundary conditions

1994 ◽  
Vol 50 (3) ◽  
pp. 465-479 ◽  
Author(s):  
Yi Zeng ◽  
Yousong Luo
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Initial Boundary ◽  
Engineering Problem ◽  
Classical Solutions ◽  
Schauder Estimates ◽  
Initial Boundary Condition ◽  
Linear Parabolic Equations

The Schauder estimates for solutions of linear second order parabolic equations with Venttsel initial boundary conditions are proved, and existence and uniqueness of classical solutions under such an initial boundary condition are established. An application to an engineering problem is also given.

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