Initial trace of positive solutions to semilinear parabolic inequalities

2002 ◽  
Vol 2 (4) ◽  
Author(s):  
Moshe Marcus ◽  
Laurent Vgron
Keyword(s):  
Positive Solutions ◽  
Semilinear Parabolic ◽  
Parabolic Inequalities

AbstractWe study the existence and properties of the initial trace, at t = 0, of positive solutions of u

Blow-up Results for Parabolic Inequalities with Chipot–Weissler Nonlinearity in the Gradient Term

2004 ◽  
Vol 4 (2) ◽  
Author(s):  
Anna Maria Piccirillo ◽  
Luisa Toscano ◽  
Speranza Toscano
Keyword(s):  
Positive Solutions ◽  
Wide Class ◽  
Blow Up ◽  
Parabolic Problems ◽  
Gradient Term ◽  
Nonlinear Parabolic Problems ◽  
Nonlinear Parabolic ◽  
Open Question ◽  
Parabolic Inequalities

AbstractWe obtain blow-up results for a wide class of nonlinear parabolic problems with nonlinearity of the Chipot-Weissler type in the gradient term. Some of these answer an open question concerning the nonexistence of positive solutions to the problemwhere λ > 0 is small, u

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