scholarly journals Renormalized solutions for a nonlinear parabolic equation with variable exponents and L1-data

2010 ◽  
Vol 249 (6) ◽  
pp. 1483-1515 ◽  
Author(s):  
M. Bendahmane ◽  
P. Wittbold ◽  
A. Zimmermann
Keyword(s):  
Parabolic Equation ◽  
Nonlinear Parabolic Equation ◽  
Variable Exponents ◽  
Renormalized Solutions ◽  
Nonlinear Parabolic

scholarly journals $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hui Wang ◽  
Caisheng Chen
Keyword(s):  
Parabolic Equation ◽  
Weak Solutions ◽  
Nonlinear Parabolic Equation ◽  
Divergence Form ◽  
Decay Estimates ◽  
Laplacian Equation ◽  
Estimates Of Solutions ◽  
Nonlinear Parabolic ◽  
Doubly Nonlinear ◽  
Doubly Nonlinear Parabolic Equation

AbstractIn this paper, we are interested in $L^{\infty }$ L ∞ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain $L^{\infty }$ L ∞ decay estimates of weak solutiona.

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