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Dynamical Systems Method (DSM) for solving equations with monotone operators without smoothness assumptions on

โœ Scribed by N.S. Hoang; A.G. Ramm


Book ID
108178650
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
168 KB
Volume
367
Category
Article
ISSN
0022-247X

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Dynamical systems method for ill-posed e
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