Results 301 to 310 of about 1,355,996 (330)

A Degenerate Parabolic Logistic Equation

2014
We 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, Rosa Pardo, Aníbal Rodríguez-Bernal   +2 more
openaire   +1 more source

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 ...
openaire   +2 more sources

Degenerate and Singular Parabolic Equations

2011
Let 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, Ugo Gianazza, Vincenzo Vespri   +2 more
openaire   +1 more source

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.
openaire   +1 more source

Critical exponents of degenerate parabolic equations

1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On solutions of some nonlinear degenerate parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Regularity results for degenerate parabolic equations with L m data

Complex Variables and Elliptic Equations, 2023
Khelifi Hichem, Fares Mokhtari
exaly  

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.
openaire   +1 more source

Existence, energy analysis, and finite-time blow-up for degenerate parabolic equations with mixed logarithmic sources

Journal of Pseudo-Differential Operators and Applications
S. Boulaaras
semanticscholar   +1 more source

Null controllability for a class of degenerate parabolic equations with the gradient terms

Journal of evolution equations (Printed ed.), 2019
Run-Mei Du
semanticscholar   +1 more source