Multiplicative Controllability of Semilinear Parabolic Equations with Neumann Boundary Conditions

2021 ◽  
Author(s):  
Qingzhe Wu ◽  
Peidong Lei ◽  
Lili Wang
Keyword(s):  
Boundary Conditions ◽  
Parabolic Equations ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Semilinear Parabolic Equations ◽  
Semilinear Parabolic

scholarly journals Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Constantin P. Niculescu ◽  
Ionel Rovenţa
Keyword(s):  
Parabolic Equation ◽  
Parabolic Equations ◽  
Blow Up ◽  
Neumann Boundary ◽  
Semilinear Parabolic Equations ◽  
New Class ◽  
Large Solutions ◽  
Nonlocal Parabolic Equation ◽  
Work Done ◽  
Semilinear Parabolic

We consider a new class of nonlinearities for which a nonlocal parabolic equation with Neumann boundary conditions has finite time blow-up solutions. Our approach is inspired by previous work done by Jazar and Kiwan (2008) and El Soufi et al. (2007).

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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