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A nonlinear degenerate parabolic equation

Nonlinear Analysis: Theory, Methods & Applications, 1990
The Cauchy problem for the equation \(u_ t-\alpha (u)_{xx}+\beta (u)_ x\ni f\) has a unique integral solution in \(L^ 1({\mathbb{R}})\) when \(\alpha\) and \(\beta\) are maximal monotone graphs in \({\mathbb{R}}\times {\mathbb{R}}\), \(0\in Int D(\alpha)\), \(\beta\) is dominated by \(\alpha\) in a certain sense, and at each point of their common ...
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Degenerate elliptic-parabolic equation

Communications in Partial Differential Equations, 1978
(1978). Degenerate elliptic-parabolic equation. Communications in Partial Differential Equations: Vol. 3, No. 11, pp. 1007-1040.
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Degenerate Parabolic and Elliptic Equations

1994
The region where the equation deteriorates is fixed for linear and semilinear degenerate equations. The cases usually discussed are that the degenerate region is on the boundary. The two approaches are often used. One is the barrier argument and another is introducing the weighted Sobolev spaces.
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A Fredholm Transformation for the Rapid Stabilization of a Degenerate Parabolic Equation

SIAM Journal on Control and Optimization, 2021
Pierre Lissy, Swann Marx
exaly  

The weighted Bergman space on a sector and a degenerate parabolic equation

Journal of Mathematical Analysis and Applications, 2020
Marcos López-García
exaly  

Identifying unknown source in degenerate parabolic equation from final observation

Inverse Problems in Science and Engineering, 2021
Ranran Li
exaly  

Source type solutions of a fourth order nonlinear degenerate parabolic equation

Nonlinear Analysis: Theory, Methods & Applications, 1992
L A Peletier
exaly  

Blow-up for a degenerate parabolic equation with a nonlocal source

Journal of Mathematical Analysis and Applications, 2003
Qilin Liu, Youpeng Chen, Chunhong Xie
exaly  

Critical curves for a degenerate parabolic equation with multiple nonlinearities

Journal of Mathematical Analysis and Applications, 2009
Zhongping Li, Li Xie
exaly  

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