Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements

DOI10.1137/18M1174064zbMath1464.65100arXiv1803.04641MaRDI QIDQ4612163

Vo Anh Khoa, Nguyen Huy Tuan, Van Au Vo

Publication date: 22 January 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04641

zbMATH Keywords

convergence ratesuniquenessill-posed problemsFaedo-Galerkin methodquasi-reversibility methodquasi-linear parabolic problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Quasilinear parabolic equations with (p)-Laplacian (35K92) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)

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