Sobolev spaces Admissible functions 1 Constant coefficients 1 Convergence rates 1 Degree of ill-posedness 1 Differentiability 1 Differential equations 1 Growth conditions 1 High differentiability 1 Higher differentiability 1 Ill posed problem 1 Inverse problems 1 Linear constants 1 Mathematical operators 1 Meyer wavelet 1 Multi-resolution analysis 1 Multiresolution analysis 1 Nonautonomous 1 Nonlinear analysis 1 Obstacle problems 1 Pseudo-differential operator 1 Quadratic growth conditions 1 Regularity assumption 1 Regularization of ill-posed problems 1 Sobolev 1 Sobolev coefficient 1 Sobolev coefficients 1 Wavelet regularizations 1 convergence rates 1 degree of ill-posedness 1