Optimal Continuous Dependence Estimates for Fractional Degenerate Parabolic Equations
نویسندگان
چکیده
منابع مشابه
Optimal continuous dependence estimates for fractional degenerate parabolic equations
We derive continuous dependence estimates for weak entropy solutions of degenerate parabolic equations with nonlinear fractional diffusion. The diffusion term involves the fractional Laplace operator, ∆α/2 for α ∈ (0, 2). Our results are quantitative and we exhibit an example for which they are optimal. We cover the dependence on the nonlinearities, and for the first time, the Lipschitz depende...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2014
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-014-0737-x