scholarly journals A Probabilistic Approach to Large Time Behaviour of Viscosity Solutions of Parabolic Equations with Neumann Boundary Conditions

2015 ◽  
Vol 74 (2) ◽  
pp. 345-374 ◽  
Author(s):  
Ying Hu ◽  
Pierre-Yves Madec
Keyword(s):  
Boundary Conditions ◽  
Viscosity Solutions ◽  
Parabolic Equations ◽  
Large Time ◽  
Probabilistic Approach ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Time Behaviour ◽  
Large Time Behaviour

Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions

2016 ◽  
Vol 24 (3) ◽  
Author(s):  
Idriss Boutaayamou ◽  
Genni Fragnelli ◽  
Lahcen Maniar
Keyword(s):  
Boundary Conditions ◽  
Parabolic Equations ◽  
Parabolic Problem ◽  
Neumann Boundary ◽  
Spatial Domain ◽  
Neumann Boundary Conditions ◽  
Well Posedness ◽  
Degeneracy Point ◽  
Inverse Source Problems ◽  
Interior Degeneracy

AbstractWe consider a parabolic problem with degeneracy in the interior of the spatial domain and we focus on the well-posedness of the problem and on inverse source problems. The novelties of the present paper are two. First, the degeneracy point is in the interior of the spatial domain. Second, we consider Neumann boundary conditions so that no previous result can be adapted to this situation.

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