A critical case for the solvability of stefan‐like problems

Antonio Fasano, Mario Primicerio, Karl Peter Hadeler · Mathematical Methods in the Applied Sciences · 1983

Abstract We consider a one‐phase one‐dimensional Stefan problem with general data with the aim to investigate some open questions on existence of classical solutions. We show how existence and nonexistence are discriminated by the behavior of the initial datum in the neighborhood of the starting point of the free boundary.

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