Analyticity of solutions to nonlinear parabolic equations on manifolds and an application to Stokes flow
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چکیده
We prove a general regularity result for fully nonlinear, possibly nonlocal parabolic Cauchy problems under the assumption of maximal regularity for the linearized problem. We apply this result to show joint spatial and temporal analyticity of the moving boundary in the problem of Stokes flow driven by surface tension.
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تاریخ انتشار 2003