scholarly journals Viscosity solutions of fully nonlinear second order parabolic equations with $L^1$ dependence in time and Neumann boundary conditions

2008 ◽  
Vol 21 (3) ◽  
pp. 763-800 ◽  
Author(s):  
Mariane Bourgoing ◽  
Keyword(s):  
Boundary Conditions ◽  
Viscosity Solutions ◽  
Parabolic Equations ◽  
Neumann Boundary ◽  
Second Order ◽  
Neumann Boundary Conditions ◽  
Fully Nonlinear

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.

Sign in / Sign up

Export Citation Format

Share Document