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Approximation of the solution and its derivative for the singularly perturbed Black-Scholes equation with nonsmooth initial data

✍ Scribed by S. Li; G. I. Shishkin; L. P. Shishkina


Book ID
110194707
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
335 KB
Volume
47
Category
Article
ISSN
0965-5425

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We prove a theorem on stability of a strong solution of the Navier-Stokes equation with respect to perturbation of the initial velocity in the norm of D(A 1/4 ) (where A is the Stokes operator) and also with respect to certain perturbations of the acting body force. The theorem is applied to obtain