منابع مشابه
A Parabolic Free Boundary Problem with Bernoulli Type Condition on the Free Boundary
Consider the parabolic free boundary problem ∆u− ∂tu = 0 in {u > 0} , |∇u| = 1 on ∂{u > 0} . For a realistic class of solutions, containing for example all limits of the singular perturbation problem ∆uε − ∂tuε = βε(uε) as ε → 0, we prove that one-sided flatness of the free boundary implies regularity. In particular, we show that the topological free boundary ∂{u > 0} can be decomposed into an ...
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ژورنال
عنوان ژورنال: Journal of the Japan Society for Precision Engineering
سال: 1988
ISSN: 1882-675X,0912-0289
DOI: 10.2493/jjspe.54.848