On a boundary value problem for a spectrally loaded heat operator. II

DOI10.1134/S0012266107060079zbMath1140.35459OpenAlexW4254424356MaRDI QIDQ2480489

Murat I. Ramazanov, Muvasharkhan T. Jenaliyev

Publication date: 31 March 2008

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

Full work available at URL: https://doi.org/10.1134/s0012266107060079

zbMATH Keywords

method of regularizationadjoint Volterra integral equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) General topics in linear spectral theory for PDEs (35P05) Integral representations of solutions to PDEs (35C15) Volterra integral equations (45D05)

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Boundary value problems for a weakly loaded operator of a second-order hyperbolic equation in a cylindrical domain ⋮ Optimization method for constructing a stabilizing effect for a loaded thermal conductivity operator ⋮ Classical and generalized solutions of problems for the telegraph equation with a Dirac potential ⋮ STABILIZATION OF SOLUTIONS OF TWO-DIMENSIONAL PARABOLIC EQUATIONS AND RELATED SPECTRAL PROBLEMS ⋮ Directional derivative problem for the telegraph equation with a Dirac potential ⋮ Cauchy problem and the second mixed problem for parabolic equations with the Dirac potential ⋮ On nonlocal problems for systems of parabolic equations ⋮ Cauchy problem and the second mixed problem for parabolic equations with a Dirac potential concentrated at finitely many given points

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