Boundary value problems for a spectrally loaded heat operator with load line approaching the time axis at zero or infinity

DOI10.1134/S0012266111020091zbMath1227.35143MaRDI QIDQ641966

D. M. Akhmanova, M. M. Amangalieva, Murat I. Ramazanov, Muvasharkhan T. Jenaliyev

Publication date: 25 October 2011

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

zbMATH Keywords

unbounded domainsmotion of the load point

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (10)

Solution of the boundary value problem of heat conduction in a cone ⋮ On the singular Volterra integral equation of the boundary value problem for heat conduction in a degenerating domain ⋮ An exact solution method for a class of nonlinear loaded difference equations with multipoint boundary conditions ⋮ Optimization method for constructing a stabilizing effect for a loaded thermal conductivity operator ⋮ On the coefficient inverse problem of heat conduction in a degenerating domain ⋮ STABILIZATION OF SOLUTIONS OF TWO-DIMENSIONAL PARABOLIC EQUATIONS AND RELATED SPECTRAL PROBLEMS ⋮ About Dirichlet boundary value problem for the heat equation in the infinite angular domain ⋮ On a Volterra equation of the second kind with `incompressible' kernel ⋮ On linear and nonlinear heat equations in degenerating domains ⋮ On one homogeneous problem for the heat equation in an infinite angular domain

Cites Work

• A nonlinear loaded parabolic equation and a related inverse problem
• On a boundary value problem for a spectrally loaded heat operator. I
• Loaded equations with periodic boundary conditions
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