For transverse initial data, the phase boundary in a 1D parabolic hysteresis problem is Hölder 1/2 continuous, Lipschitz under W^2_∞ data, and no regular interface branch exists for non-transverse data.
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Properties of the phase boundary in the parabolic problem with hysteresis
For transverse initial data, the phase boundary in a 1D parabolic hysteresis problem is Hölder 1/2 continuous, Lipschitz under W^2_∞ data, and no regular interface branch exists for non-transverse data.