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Hamilton-Jacobi equations in infinite dimensions I. Uniqueness of viscosity solutions

✍ Scribed by Michael G Crandall; Pierre-Louis Lions


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
921 KB
Volume
62
Category
Article
ISSN
0022-1236

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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