EXISTENCE OF WEAK SOLUTION FOR NONLINEAR PARABOLIC EQUATION OF THE TYPE OF NONSTATIONARY FILTRATION

1982 ◽  
Vol 15 (1) ◽  
pp. 1-18
Author(s):  
Michal Wyskup
Keyword(s):  
Weak Solution ◽  
Parabolic Equation ◽  
Nonlinear Parabolic Equation ◽  
Nonlinear Parabolic ◽  
Nonstationary Filtration

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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