On truncated spectral regularization for an ill-posed evolution equation
نویسندگان
چکیده
We consider the spectral truncation as regularization for an ill-posed non-homogeneous parabolic final value problem, and obtain error estimates under a general source condition when data, which consist of term well value, are noisy. The resulting estimate is compared with corresponding Lavrentieve method, showed that method has no index saturation.
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ژورنال
عنوان ژورنال: Proceedings - Mathematical Sciences
سال: 2021
ISSN: ['0973-7685', '0253-4142']
DOI: https://doi.org/10.1007/s12044-021-00632-9