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Monotonicity, resolvents and Yosida approximations of operators on Hilbert manifolds

✍ Scribed by Toshiyuki Iwamiya; Hiroko Okochi


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
124 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis


Monotonicity, resolvents and Yosida approximations of operators on manifolds of class C 3 are considered. Strong convergence of di erence approximations to di erential equations is shown by using resolvents. Our motivation is to give an elementary step toward constructing nonlinear semigroup theory on inÿnite dimensional manifolds.