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A discrepancy principle for equations with monotone continuous operators

โœ Scribed by N.S. Hoang; A.G. Ramm

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
519 KB
Volume
70
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Dynamical systems method for ill-posed e
Dynamical systems method for ill-posed equations with monotone operators
โœ A.G. Ramm ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 283 KB

Consider an operator equation B(u) ร€ f = 0 in a real Hilbert space. Let us call this equation ill-posed if the operator B 0 (u) is not boundedly invertible, and well-posed otherwise. The dynamical systems method (DSM) for solving this equation consists of a construction of a Cauchy problem, which ha