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Improved Duality Estimates and Applications to Reaction-Diffusion Equations

✍ Scribed by Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens

Book ID
125546225
Publisher
Taylor and Francis Group
Year
2014
Tongue
English
Weight
218 KB
Volume
39
Category
Article
ISSN
0360-5302

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We derive error bounds for Runge-Kutta time discretizations of semilinear parabolic equations with nonsmooth initial data. The framework includes reaction-diffusion equations and the incompressible Navier-Stokes equations. Nonsmooth-data error bounds of the type given here are needed in the study of