Regularity of a Parabolic Free Boundary Problem with Hölder Continuous Coefficients
نویسندگان
چکیده
We consider the parabolic obstacle type problem Hu = fχΩ in Q − 1 , u = |∇u| = 0 on Q1 \ Ω, where Ω is an unknown open subset of Q1 . This problem has its origin in parabolic potential theory. When f is Hölder continuous we can, under a combination of energetic and geometric assumptions, prove the optimal C x ∩ C t regularity of the solution.
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