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A nonlinear degenerate parabolic equation
Nonlinear Analysis: Theory, Methods & Applications, 1990The 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
1994The 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, 2021Pierre Lissy, Swann Marx
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The weighted Bergman space on a sector and a degenerate parabolic equation
Journal of Mathematical Analysis and Applications, 2020Marcos López-García
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Identifying unknown source in degenerate parabolic equation from final observation
Inverse Problems in Science and Engineering, 2021Ranran Li
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Source type solutions of a fourth order nonlinear degenerate parabolic equation
Nonlinear Analysis: Theory, Methods & Applications, 1992L A Peletier
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Blow-up for a degenerate parabolic equation with a nonlocal source
Journal of Mathematical Analysis and Applications, 2003Qilin Liu, Youpeng Chen, Chunhong Xie
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Blowup for a degenerate and singular parabolic equation with nonlocal source and nonlocal boundary
Applied Mathematics and Computation, 2015Di Yang
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Critical curves for a degenerate parabolic equation with multiple nonlinearities
Journal of Mathematical Analysis and Applications, 2009Zhongping Li, Li Xie
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