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Dynamic programming and linear partial differential equations

✍ Scribed by Edward Angel


Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
403 KB
Volume
23
Category
Article
ISSN
0022-247X

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We prove the equivalence of the well-posedness of a partial differential equation with delay and an associated abstract Cauchy problem. This is used to derive sufficient conditions for well-posedness, exponential stability and norm continuity of the solutions. Applications to a reaction-diffusion eq