Recovery of a rapidly oscillating source in the heat equation from solution asymptotics

DOI10.1134/S0965542517120065MaRDI QIDQ1746362

V. B. Levenshtam, P. V. Babich, S. P. Prika

Publication date: 25 April 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

heat equationinverse problemasymptotic expansionrapidly oscillating source

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Partial differential equations (35-XX)

Related Items (6)

Parabolic equations with large parameter. Inverse problems ⋮ Reconstruction of a Rapidly Oscillating Junior Coefficient and the Source of a Hyperbolic Equation from the Partial Asymptotics of the Solution ⋮ Adaptive learning nonsynchronous control of nonlinear hidden Markov jump systems with limited mode information ⋮ Recovery of a rapidly oscillating absolute term in the multidimensional hyperbolic equation ⋮ Reconstruction of a high-frequency source term of the wave equation from the asymptotics of the solution. Case of the Cauchy problem ⋮ Inverse Problems in the Multidimensional Hyperbolic Equation with Rapidly Oscillating Absolute Term

Cites Work

• The averaging method in the convection problem with high-frequency oblique vibrations
• Asymptotic expansion of the solution to the problem of vibrational convection
• Problems of determining the unknown source in parabolic and hyperbolic equations
• Direct and inverse asymptotic problems with high-frequency terms
• Asymptotic expansions of solutions to inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative
• A JUSTIFICATION OF THE AVERAGING METHOD FOR A PROBLEM OF CONVECTION IN A FIELD OF RAPIDLY OSCILLATING FORCES AND FOR OTHER PARABOLIC EQUATIONS

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