On the nature of ill-posedness of the forward-backward heat equation

DOI10.1007/s00020-009-1720-zzbMath1183.35210arXiv0803.2552OpenAlexW1968172865MaRDI QIDQ1049589

Illya M. Karabash, Sergei G. Pyatkov, Marina Chugunova

Publication date: 13 January 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2552

zbMATH Keywords

completenessgeneralized solutionRiesz basis propertyforward-backward diffusionhighly non-self-adjoint differential operatorlubrication problemparabolic equation of mixed typeviscous fluid film

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Thin fluid films (76A20) Lubrication theory (76D08) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items (5)

Convergence to Equilibrium for a Thin-Film Equation on a Cylindrical Surface ⋮ Spectral Analysis of an Operator Arising in Fluid Dynamics ⋮ Shooting methods for a PT-symmetric periodic eigenvalue problem ⋮ CORRESPONDENCE OF THE EIGENVALUES OF A NON‐SELF‐ADJOINT OPERATOR TO THOSE OF A SELF‐ADJOINT OPERATOR ⋮ On the stability of a forward-backward heat equation

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