Shape-invariant bounds and more general estimates for vector-valued elliptic-parabolic problems

DOI10.1016/0022-0396(82)90037-7zbMath0487.35033OpenAlexW2072164523MaRDI QIDQ1165388

Johann Schroeder

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90037-7

zbMATH Keywords

invariant setserror boundsdifferential inequalitiespointwise estimatesboundary maximum principlechemical reaction problemshape-invariant bounds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (4)

Shape-invariant bounds for reaction-diffusion systems with unequal diffusion coefficients ⋮ Pointwise bounds for linear reaction-diffusion systems and an extension to nonlinear problems ⋮ Enclosure statements for systems of semilinear parabolic differential equations. ⋮ Constrained semilinear elliptic systems on \(\mathbb{R}^N\)

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