An Inverse Problem for a Nonlinear Parabolic Equation with Applications in Population Dynamics and Magnetics

2008 ◽  
Vol 39 (6) ◽  
pp. 1863-1889 ◽  
Author(s):  
Barbara Kaltenbacher ◽  
Michael V. Klibanov
Keyword(s):  
Inverse Problem ◽  
Population Dynamics ◽  
Parabolic Equation ◽  
Nonlinear Parabolic Equation ◽  
Nonlinear Parabolic

An inverse problem of identifying the coefficient in a nonlinear parabolic equation

2009 ◽  
Vol 71 (12) ◽  
pp. 6212-6221 ◽  
Author(s):  
Zui-Cha Deng ◽  
Liu Yang ◽  
Jian-Ning Yu ◽  
Guan-Wei Luo
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation ◽  
Nonlinear Parabolic Equation ◽  
Nonlinear Parabolic

On a backward nonlinear parabolic equation with time and space dependent thermal conductivity: Regularization and error estimates

2014 ◽  
Vol 22 (3) ◽  
Author(s):  
Pham Hoang Quan ◽  
Dang Duc Trong ◽  
Le Minh Triet
Keyword(s):  
Thermal Conductivity ◽  
Inverse Problem ◽  
Parabolic Equation ◽  
Error Estimates ◽  
Nonlinear Parabolic Equation ◽  
Variable Thermal Conductivity ◽  
Time And Space ◽  
Nonlinear Parabolic

Abstract.We study the inverse problem for nonlinear parabolic equation with variable thermal conductivity

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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