Perturbation analysis of a semilinear parabolic problem with nonlinear boundary conditions

DOI10.1216/rmjm/1181072111zbMath0858.35066OpenAlexW2070582054MaRDI QIDQ1915754

Domingo Salazar, J. Sabina, John R. Ockendon, Andrew A. Lacey

Publication date: 23 March 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL26-1/contents/contents.htm

zbMATH Keywords

perturbation analysis

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (3)

Critical exponents for a nonlinear diffusion system ⋮ Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up ⋮ Properties of positive solutions to a nonlinear parabolic problem

Cites Work

• Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
• Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
• On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equations with a Nonlinear Boundary Condition
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