scholarly journals A Sixth-Order Nonlinear Parabolic Equation for Quantum Systems

2009 ◽  
Vol 41 (4) ◽  
pp. 1472-1490 ◽  
Author(s):  
Ansgar Jüngel ◽  
Josipa-Pina Milišić
Keyword(s):  
Parabolic Equation ◽  
Nonlinear Parabolic Equation ◽  
Quantum Systems ◽  
Sixth Order ◽  
Nonlinear Parabolic

Time periodic solutions for a sixth order nonlinear parabolic equation

2016 ◽  
Vol 66 (1) ◽  
Author(s):  
Changchun Liu ◽  
Zhao Wang
Keyword(s):  
Parabolic Equation ◽  
Periodic Solutions ◽  
Nonlinear Parabolic Equation ◽  
Sixth Order ◽  
Surfactant Mixtures ◽  
Nonlinear Parabolic ◽  
Time Periodic Solutions ◽  
Oil Water ◽  
Time Periodic ◽  
Time Periodic Solution

AbstractIn this paper, we study the time periodic solution of a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures based on Leray-Schauder’s fixed point theorem, we prove the existence of time-periodic solutions.

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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