Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential

2018 ◽  
Vol 464 (2) ◽  
pp. 1213-1242 ◽  
Author(s):  
Min Feng ◽  
Jun Zhou
Keyword(s):  
Parabolic Equation ◽  
Global Existence ◽  
Singular Potential ◽  
Blow Up ◽  
Nonlocal Parabolic Equation

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).

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