A Fatou theorem for solutions of the porous medium equation

A Fatou theorem for solutions of the porous medium equation
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by Björn E. J. Dahlberg, Eugene B. Fabes and Carlos E. Kenig PDF

Proc. Amer. Math. Soc. 91 (1984), 205-212 Request permission

We show that nonnegative solutions of the porous medium equation in an infinite strip have nontangential initial values pointwise almost everywhere.

References

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Non-negative solutions of linear parabolic equations: an addendum

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