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On a dissolution-growth problem with surface tension in the neighborhood of a stationary solution. (English) Zbl 0812.35053

Summary: The authors consider a one-phase Stefan problem with surface tension in dimension two and show a well-posedness result in the neighborhood of a stationary solution, in the case that the moving interface is parametrized in the form \(y= f(x,t)\).

MSC:

35K55 Nonlinear parabolic equations
35R35 Free boundary problems for PDEs
35Q35 PDEs in connection with fluid mechanics
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