Global existence and continuity of weak solutions for semilinear parabolic equations with a singular lower order term

2001 ◽  
Vol 77 (1-2) ◽  
pp. 165-176
Author(s):  
You-Dong Zeng ◽  
Zu-Chi Chen
Keyword(s):  
Global Existence ◽  
Weak Solutions ◽  
Lower Order ◽  
Parabolic Equations ◽  
Order Term ◽  
Lower Order Term ◽  
Semilinear Parabolic Equations ◽  
Semilinear Parabolic

scholarly journals Existence of a renormalized solution of nonlinear parabolic equations with lower order term and general measure data

2021 ◽  
Vol 39 (3) ◽  
pp. 93-114
Author(s):  
A. Marah ◽  
Abdelkader Bouajaja ◽  
H. Redwane
Keyword(s):  
Lower Order ◽  
Parabolic Equations ◽  
Order Term ◽  
Nonlinear Parabolic Equations ◽  
Lower Order Term ◽  
Measure Data ◽  
General Measure ◽  
Renormalized Solution ◽  
Nonlinear Parabolic ◽  
The Right

We give an existence result of a renormalized solution for a classof nonlinear parabolic equations@b(u)/@t div(a(x; t;grad(u))+ H(x; t;ru) = ,where the right side is a general measure, b is a strictly increasing C1-function,div(a(x; t;grad(u)) is a Leray{Lions type operator with growth  in grad(u)and H(x; t;grad(u) is a nonlinear lower order term which satisfy the growth condition with respect to grad(u).

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