The mesa problem for Neumann boundary value problem.

DOI10.1016/j.jde.2003.04.001zbMath1134.35369OpenAlexW2014827054MaRDI QIDQ1428257

Noureddine Igbida, Philippe Benilan

Publication date: 14 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.04.001

zbMATH Keywords

Elliptic problemSingular limitMild solutionAccretive operatorMesa problemNonlinear semigroup theoryParabolic problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear accretive operators, dissipative operators, etc. (47H06) Degenerate parabolic equations (35K65) Applications of operator theory to differential and integral equations (47N20)

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Cites Work

• One-parameter semigroups of positive operators
• Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions
• Fast/slow diffusion and collapsing sandpiles,
• Semi-linear second-order elliptic equations in \(L^1\)
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