Parabolic equations with large parameter. Inverse problems

DOI10.1134/S0001434620030098zbMath1448.35576OpenAlexW3020542903MaRDI QIDQ2191987

V. B. Levenshtam

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620030098

zbMATH Keywords

asymptoticsabstract parabolic equationrapidly oscillating absolute termmultidimensional parabolic initial boundary-value problem

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Asymptotic problems of reconstructing a high-frequency source of a wave equation, Hyperbolic equation with rapidly oscillating data: reconstruction of the small lowest order coefficient and the right-hand side from partial asymptotics of the solution, Reconstruction of a Rapidly Oscillating Junior Coefficient and the Source of a Hyperbolic Equation from the Partial Asymptotics of the Solution, Asymptotic problems of reconstruction of high-frequency data of the wave equation, Reconstruction of a high-frequency source term of the wave equation from the asymptotics of the solution. Case of the Cauchy problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse and ill-posed sources problems
• Formulas in inverse and ill-posed problems
• Recovery of a rapidly oscillating absolute term in the multidimensional hyperbolic equation
• Recovery of a rapidly oscillating source in the heat equation from solution asymptotics
• Multidimensional inverse and ill-posed problems for differential equations
• Inverse problems of mathematical physics.
• Forward and inverse problems for hyperbolic, elliptic, and mixed type equations
• Direct and inverse asymptotic problems with high-frequency terms
• Definitions and examples of inverse and ill-posed problems
• RECOVERY OF THE NONHOMOGENEOUS TERM IN AN ABSTRACT EVOLUTION EQUATION
• 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 ABSTRACT PARABOLIC EQUATIONS
• A JUSTIFICATION OF THE AVERAGING METHOD FOR A PROBLEM OF CONVECTION IN A FIELD OF RAPIDLY OSCILLATING FORCES AND FOR OTHER PARABOLIC EQUATIONS
• Inverse problems for partial differential equations