Stability of equilibrium solution to inhomogeneous heat equation under a 3-point boundary condition

DOI10.1080/00036810903569457zbMath1188.35097OpenAlexW2068786208WikidataQ58259102 ScholiaQ58259102MaRDI QIDQ3553779

Bruce D. Calvert

Publication date: 21 April 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903569457

zbMATH Keywords

asymptotic stabilityone space dimension

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06)

Related Items (1)

On a semilinear parabolic problem with non-local (Bitsadze-Samarskii type) boundary conditions in more dimensions

Cites Work

• A sharper condition for the solvability of a three-point second order boundary value problem
• Three-point boundary value problems with solutions that change sign
• The asymptotic behaviour of semigroups of linear operators
• Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems
• Loss of positivity in a nonlinear scalar heat equation
• NONLINEAR NON-LOCAL BOUNDARY-VALUE PROBLEMS AND PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS

This page was built for publication: Stability of equilibrium solution to inhomogeneous heat equation under a 3-point boundary condition