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ON UNIQUENESS CLASSES FOR DEGENERATING PARABOLIC EQUATIONS
Mathematics of the USSR-Sbornik, 1971We study the uniqueness classes of a generalized solution of the Cauchy problem (1)when the matrix is degenerate. A generalized solution is introduced with the help of an infinitesimal operator of a Markov process connected with the operator in (1).
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Symmetry for degenerate parabolic equations
Archive for Rational Mechanics and Analysis, 1989For ...
ALESSANDRINI, GIOVANNI, GAROFALO N.
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Some degenerate nonlinear parabolic equations
九州大学教養部数学雑誌, 1984The author proves existence, uniqueness and asymptotic behaviour of solutions of the initial value problem for the generalized porous medium equation on a bounded domain in \({\mathbb{R}}^ n\). In various cases, decay notes, positivity and uniqueness are given which extend known results in various directions.
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On Degenerate Nonlinear Parabolic Equations on the Bohr Compactum
Differential Equations, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Degenerate and Singular Parabolic Equations
2011Let E be an open set in \(\mathbb{R}^{N}\) and for T > 0 let E T denote the cylindrical domain E × (0, T].
Emmanuele DiBenedetto +2 more
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A Degenerate Parabolic Logistic Equation
2014We analyze the behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearity and Dirichlet boundary conditions. Our results concern existence and strong localization in the spatial region in which the logistic nonlinearity cancels.
José M. Arrieta +2 more
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On the homogenization of degenerate parabolic equations
Acta Mathematicae Applicatae Sinica, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Critical exponents of degenerate parabolic equations
1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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