A note on the derivation of filter regularization operators for nonlinear evolution equations

DOI10.1080/00036811.2016.1276176OpenAlexW2568984335WikidataQ58135520 ScholiaQ58135520MaRDI QIDQ4638876

Nguyen Huy Tuan, Vuong Nguyen Doan, Vo Anh Khoa, Van Au Vo

Publication date: 2 May 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06102

zbMATH Keywords

inverse problemswell-posednesserror estimatemild solutionill-posed problemsfilter regularization

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Linear operators and ill-posed problems, regularization (47A52) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (9)

Convergence analysis of a variational quasi-reversibility approach for an inverse hyperbolic heat conduction problem ⋮ A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations ⋮ On the initial and terminal value problem for a class of semilinear strongly material damped plate equations ⋮ Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements ⋮ An improved quasi-reversibility method for a terminal-boundary value multi-species model with white Gaussian noise ⋮ Unnamed Item ⋮ Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem ⋮ On a final value problem for a class of nonlinear hyperbolic equations with damping term ⋮ On a final value problem for a biparabolic equation with statistical discrete data

Cites Work

• A finite difference scheme for nonlinear ultra-parabolic equations
• Hölder stability for a class of initial inverse nonlinear heat problem in multiple dimension
• Strongly damped wave problems: bootstrapping and regularity of solutions
• A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source
• Solution of inverse diffusion problems by operator-splitting methods
• On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions
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