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Averaging of Hamilton-Jacobi equation in infinite dimensions and application

✍ Scribed by Shihong Wang


Book ID
105642380
Publisher
Springer
Year
1998
Tongue
English
Weight
188 KB
Volume
43
Category
Article
ISSN
1001-6538

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We prove that if \(X\) is a Banach space which admits a smooth Lipschitzian bump function. then for every lower semicontinuous bounded below function \(f\), there exists a Lipschitzian smooth function \(g\) on \(X\) such that \(f+g\) attains its strong minimum on \(X\), thus extending a result of Bo